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Finding the Third Proportional to 102,853,854 and 219,656,817

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Solution

The third proportional to 102,853,854 and 219,656,817 is: 469,103,639.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,853,854 : 219,656,817 = 219,656,817 : x
  2. Step 2: Convert to fraction form
    102,853,854/219,656,817 = 219,656,817/x
  3. Step 3: Cross multiply
    102,853,854x = 219,656,817 × 219,656,817
  4. Step 4: Simplify right side
    102,853,854x = 48,249,117,254,571,488
  5. Step 5: Solve for x
    x = 48,249,117,254,571,488/102,853,854
  6. Step 6: Final answer
    x = 469,103,639.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.