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Finding the Third Proportional to 69,474,854 and 102,191,492

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Solution

The third proportional to 69,474,854 and 102,191,492 is: 150,314,832.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,474,854 : 102,191,492 = 102,191,492 : x
  2. Step 2: Convert to fraction form
    69,474,854/102,191,492 = 102,191,492/x
  3. Step 3: Cross multiply
    69,474,854x = 102,191,492 × 102,191,492
  4. Step 4: Simplify right side
    69,474,854x = 10,443,101,037,186,064
  5. Step 5: Solve for x
    x = 10,443,101,037,186,064/69,474,854
  6. Step 6: Final answer
    x = 150,314,832.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.