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Finding the Third Proportional to 98,349,357 and 214,497,655

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Solution

The third proportional to 98,349,357 and 214,497,655 is: 467,814,385.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,349,357 : 214,497,655 = 214,497,655 : x
  2. Step 2: Convert to fraction form
    98,349,357/214,497,655 = 214,497,655/x
  3. Step 3: Cross multiply
    98,349,357x = 214,497,655 × 214,497,655
  4. Step 4: Simplify right side
    98,349,357x = 46,009,244,000,499,024
  5. Step 5: Solve for x
    x = 46,009,244,000,499,024/98,349,357
  6. Step 6: Final answer
    x = 467,814,385.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.