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Finding the Third Proportional to 64,598,775.75 and 141,752,743.88

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Solution

The third proportional to 64,598,775.75 and 141,752,743.88 is: 311,056,055.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,598,775.75 : 141,752,743.88 = 141,752,743.88 : x
  2. Step 2: Convert to fraction form
    64,598,775.75/141,752,743.88 = 141,752,743.88/x
  3. Step 3: Cross multiply
    64,598,775.75x = 141,752,743.88 × 141,752,743.88
  4. Step 4: Simplify right side
    64,598,775.75x = 20,093,840,396,091,352
  5. Step 5: Solve for x
    x = 20,093,840,396,091,352/64,598,775.75
  6. Step 6: Final answer
    x = 311,056,055.83

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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.