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Finding the Third Proportional to 95,702,264 and 209,931,172

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Solution

The third proportional to 95,702,264 and 209,931,172 is: 460,502,135.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,702,264 : 209,931,172 = 209,931,172 : x
  2. Step 2: Convert to fraction form
    95,702,264/209,931,172 = 209,931,172/x
  3. Step 3: Cross multiply
    95,702,264x = 209,931,172 × 209,931,172
  4. Step 4: Simplify right side
    95,702,264x = 44,071,096,977,293,584
  5. Step 5: Solve for x
    x = 44,071,096,977,293,584/95,702,264
  6. Step 6: Final answer
    x = 460,502,135.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.