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Finding the Third Proportional to 286,157,202 and 619,853,528

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Solution

The third proportional to 286,157,202 and 619,853,528 is: 1,342,682,950.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,157,202 : 619,853,528 = 619,853,528 : x
  2. Step 2: Convert to fraction form
    286,157,202/619,853,528 = 619,853,528/x
  3. Step 3: Cross multiply
    286,157,202x = 619,853,528 × 619,853,528
  4. Step 4: Simplify right side
    286,157,202x = 384,218,396,174,046,784
  5. Step 5: Solve for x
    x = 384,218,396,174,046,784/286,157,202
  6. Step 6: Final answer
    x = 1,342,682,950.10

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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.