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Finding the Third Proportional to 233,132,685.75 and 510,067,732.50

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Solution

The third proportional to 233,132,685.75 and 510,067,732.50 is: 1,115,970,036.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,132,685.75 : 510,067,732.50 = 510,067,732.50 : x
  2. Step 2: Convert to fraction form
    233,132,685.75/510,067,732.50 = 510,067,732.50/x
  3. Step 3: Cross multiply
    233,132,685.75x = 510,067,732.50 × 510,067,732.50
  4. Step 4: Simplify right side
    233,132,685.75x = 260,169,091,737,691,552
  5. Step 5: Solve for x
    x = 260,169,091,737,691,552/233,132,685.75
  6. Step 6: Final answer
    x = 1,115,970,036.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.