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Finding the Third Proportional to 108,000,681 and 237,534,564

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Solution

The third proportional to 108,000,681 and 237,534,564 is: 522,428,827.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,000,681 : 237,534,564 = 237,534,564 : x
  2. Step 2: Convert to fraction form
    108,000,681/237,534,564 = 237,534,564/x
  3. Step 3: Cross multiply
    108,000,681x = 237,534,564 × 237,534,564
  4. Step 4: Simplify right side
    108,000,681x = 56,422,669,094,670,096
  5. Step 5: Solve for x
    x = 56,422,669,094,670,096/108,000,681
  6. Step 6: Final answer
    x = 522,428,827.04

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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.