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Finding the Third Proportional to 223,932,092,088 and 493,508,677,357

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Solution

The third proportional to 223,932,092,088 and 493,508,677,357 is: 1,087,610,142,680.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,932,092,088 : 493,508,677,357 = 493,508,677,357 : x
  2. Step 2: Convert to fraction form
    223,932,092,088/493,508,677,357 = 493,508,677,357/x
  3. Step 3: Cross multiply
    223,932,092,088x = 493,508,677,357 × 493,508,677,357
  4. Step 4: Simplify right side
    223,932,092,088x = 243,550,814,626,655,527,501,824
  5. Step 5: Solve for x
    x = 243,550,814,626,655,527,501,824/223,932,092,088
  6. Step 6: Final answer
    x = 1,087,610,142,680.87

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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.