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Finding the Third Proportional to 109,083,337.50 and 235,472,952

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Solution

The third proportional to 109,083,337.50 and 235,472,952 is: 508,304,131.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,083,337.50 : 235,472,952 = 235,472,952 : x
  2. Step 2: Convert to fraction form
    109,083,337.50/235,472,952 = 235,472,952/x
  3. Step 3: Cross multiply
    109,083,337.50x = 235,472,952 × 235,472,952
  4. Step 4: Simplify right side
    109,083,337.50x = 55,447,511,123,594,304
  5. Step 5: Solve for x
    x = 55,447,511,123,594,304/109,083,337.50
  6. Step 6: Final answer
    x = 508,304,131.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.