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Finding the Third Proportional to 76,692,339 and 107,872,897

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Solution

The third proportional to 76,692,339 and 107,872,897 is: 151,730,434.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,692,339 : 107,872,897 = 107,872,897 : x
  2. Step 2: Convert to fraction form
    76,692,339/107,872,897 = 107,872,897/x
  3. Step 3: Cross multiply
    76,692,339x = 107,872,897 × 107,872,897
  4. Step 4: Simplify right side
    76,692,339x = 11,636,561,907,172,608
  5. Step 5: Solve for x
    x = 11,636,561,907,172,608/76,692,339
  6. Step 6: Final answer
    x = 151,730,434.34

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.