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Finding the Third Proportional to 145,493,952 and 315,204,528

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Solution

The third proportional to 145,493,952 and 315,204,528 is: 682,873,020.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,493,952 : 315,204,528 = 315,204,528 : x
  2. Step 2: Convert to fraction form
    145,493,952/315,204,528 = 315,204,528/x
  3. Step 3: Cross multiply
    145,493,952x = 315,204,528 × 315,204,528
  4. Step 4: Simplify right side
    145,493,952x = 99,353,894,471,702,784
  5. Step 5: Solve for x
    x = 99,353,894,471,702,784/145,493,952
  6. Step 6: Final answer
    x = 682,873,020.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.