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Finding the Third Proportional to 102,298,218 and 156,000,609

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Solution

The third proportional to 102,298,218 and 156,000,609 is: 237,894,564.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,298,218 : 156,000,609 = 156,000,609 : x
  2. Step 2: Convert to fraction form
    102,298,218/156,000,609 = 156,000,609/x
  3. Step 3: Cross multiply
    102,298,218x = 156,000,609 × 156,000,609
  4. Step 4: Simplify right side
    102,298,218x = 24,336,190,008,370,880
  5. Step 5: Solve for x
    x = 24,336,190,008,370,880/102,298,218
  6. Step 6: Final answer
    x = 237,894,564.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.