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Finding the Third Proportional to 125,845,918.31 and 296,653,822.88

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Solution

The third proportional to 125,845,918.31 and 296,653,822.88 is: 699,295,549.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,845,918.31 : 296,653,822.88 = 296,653,822.88 : x
  2. Step 2: Convert to fraction form
    125,845,918.31/296,653,822.88 = 296,653,822.88/x
  3. Step 3: Cross multiply
    125,845,918.31x = 296,653,822.88 × 296,653,822.88
  4. Step 4: Simplify right side
    125,845,918.31x = 88,003,490,626,351,872
  5. Step 5: Solve for x
    x = 88,003,490,626,351,872/125,845,918.31
  6. Step 6: Final answer
    x = 699,295,549.72

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.