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Finding the Third Proportional to 358,423,164 and 563,191,542

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Solution

The third proportional to 358,423,164 and 563,191,542 is: 884,944,793.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,423,164 : 563,191,542 = 563,191,542 : x
  2. Step 2: Convert to fraction form
    358,423,164/563,191,542 = 563,191,542/x
  3. Step 3: Cross multiply
    358,423,164x = 563,191,542 × 563,191,542
  4. Step 4: Simplify right side
    358,423,164x = 317,184,712,980,337,792
  5. Step 5: Solve for x
    x = 317,184,712,980,337,792/358,423,164
  6. Step 6: Final answer
    x = 884,944,793.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.