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Finding the Third Proportional to 66,913,025 and 102,292,775

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Solution

The third proportional to 66,913,025 and 102,292,775 is: 156,379,297.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,913,025 : 102,292,775 = 102,292,775 : x
  2. Step 2: Convert to fraction form
    66,913,025/102,292,775 = 102,292,775/x
  3. Step 3: Cross multiply
    66,913,025x = 102,292,775 × 102,292,775
  4. Step 4: Simplify right side
    66,913,025x = 10,463,811,817,200,624
  5. Step 5: Solve for x
    x = 10,463,811,817,200,624/66,913,025
  6. Step 6: Final answer
    x = 156,379,297.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.