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Finding the Third Proportional to 233,132,442.75 and 510,067,248.75

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Solution

The third proportional to 233,132,442.75 and 510,067,248.75 is: 1,115,969,082.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,132,442.75 : 510,067,248.75 = 510,067,248.75 : x
  2. Step 2: Convert to fraction form
    233,132,442.75/510,067,248.75 = 510,067,248.75/x
  3. Step 3: Cross multiply
    233,132,442.75x = 510,067,248.75 × 510,067,248.75
  4. Step 4: Simplify right side
    233,132,442.75x = 260,168,598,247,394,368
  5. Step 5: Solve for x
    x = 260,168,598,247,394,368/233,132,442.75
  6. Step 6: Final answer
    x = 1,115,969,082.55

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