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Finding the Third Proportional to 223,932,091,090.50 and 493,508,675,358

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Solution

The third proportional to 223,932,091,090.50 and 493,508,675,358 is: 1,087,610,138,714.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,932,091,090.50 : 493,508,675,358 = 493,508,675,358 : x
  2. Step 2: Convert to fraction form
    223,932,091,090.50/493,508,675,358 = 493,508,675,358/x
  3. Step 3: Cross multiply
    223,932,091,090.50x = 493,508,675,358 × 493,508,675,358
  4. Step 4: Simplify right side
    223,932,091,090.50x = 243,550,812,653,607,849,033,728
  5. Step 5: Solve for x
    x = 243,550,812,653,607,849,033,728/223,932,091,090.50
  6. Step 6: Final answer
    x = 1,087,610,138,714.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.