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Finding the Third Proportional to 64,931,793.75 and 142,849,720.13

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Solution

The third proportional to 64,931,793.75 and 142,849,720.13 is: 314,268,886.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,931,793.75 : 142,849,720.13 = 142,849,720.13 : x
  2. Step 2: Convert to fraction form
    64,931,793.75/142,849,720.13 = 142,849,720.13/x
  3. Step 3: Cross multiply
    64,931,793.75x = 142,849,720.13 × 142,849,720.13
  4. Step 4: Simplify right side
    64,931,793.75x = 20,406,042,539,790,832
  5. Step 5: Solve for x
    x = 20,406,042,539,790,832/64,931,793.75
  6. Step 6: Final answer
    x = 314,268,886.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.