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Finding the Third Proportional to 65,059,944 and 136,829,328

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Solution

The third proportional to 65,059,944 and 136,829,328 is: 287,769,460.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,059,944 : 136,829,328 = 136,829,328 : x
  2. Step 2: Convert to fraction form
    65,059,944/136,829,328 = 136,829,328/x
  3. Step 3: Cross multiply
    65,059,944x = 136,829,328 × 136,829,328
  4. Step 4: Simplify right side
    65,059,944x = 18,722,265,000,931,584
  5. Step 5: Solve for x
    x = 18,722,265,000,931,584/65,059,944
  6. Step 6: Final answer
    x = 287,769,460.74

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.