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Finding the Third Proportional to 136,278,348.75 and 297,221,653.13

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Solution

The third proportional to 136,278,348.75 and 297,221,653.13 is: 648,237,316.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,278,348.75 : 297,221,653.13 = 297,221,653.13 : x
  2. Step 2: Convert to fraction form
    136,278,348.75/297,221,653.13 = 297,221,653.13/x
  3. Step 3: Cross multiply
    136,278,348.75x = 297,221,653.13 × 297,221,653.13
  4. Step 4: Simplify right side
    136,278,348.75x = 88,340,711,086,357,824
  5. Step 5: Solve for x
    x = 88,340,711,086,357,824/136,278,348.75
  6. Step 6: Final answer
    x = 648,237,316.47

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.