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Finding the Third Proportional to 71,489,023 and 107,137,488

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Solution

The third proportional to 71,489,023 and 107,137,488 is: 160,562,291.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,489,023 : 107,137,488 = 107,137,488 : x
  2. Step 2: Convert to fraction form
    71,489,023/107,137,488 = 107,137,488/x
  3. Step 3: Cross multiply
    71,489,023x = 107,137,488 × 107,137,488
  4. Step 4: Simplify right side
    71,489,023x = 11,478,441,334,950,144
  5. Step 5: Solve for x
    x = 11,478,441,334,950,144/71,489,023
  6. Step 6: Final answer
    x = 160,562,291.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.