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Finding the Third Proportional to 107,850,042 and 237,180,798

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Solution

The third proportional to 107,850,042 and 237,180,798 is: 521,601,381.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,850,042 : 237,180,798 = 237,180,798 : x
  2. Step 2: Convert to fraction form
    107,850,042/237,180,798 = 237,180,798/x
  3. Step 3: Cross multiply
    107,850,042x = 237,180,798 × 237,180,798
  4. Step 4: Simplify right side
    107,850,042x = 56,254,730,939,916,800
  5. Step 5: Solve for x
    x = 56,254,730,939,916,800/107,850,042
  6. Step 6: Final answer
    x = 521,601,381.85

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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.