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Finding the Third Proportional to 102,853,863 and 219,656,835

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Solution

The third proportional to 102,853,863 and 219,656,835 is: 469,103,675.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,853,863 : 219,656,835 = 219,656,835 : x
  2. Step 2: Convert to fraction form
    102,853,863/219,656,835 = 219,656,835/x
  3. Step 3: Cross multiply
    102,853,863x = 219,656,835 × 219,656,835
  4. Step 4: Simplify right side
    102,853,863x = 48,249,125,162,217,224
  5. Step 5: Solve for x
    x = 48,249,125,162,217,224/102,853,863
  6. Step 6: Final answer
    x = 469,103,675.40

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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.