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Finding the Third Proportional to 69,202,908 and 147,350,646

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Solution

The third proportional to 69,202,908 and 147,350,646 is: 313,747,117.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,202,908 : 147,350,646 = 147,350,646 : x
  2. Step 2: Convert to fraction form
    69,202,908/147,350,646 = 147,350,646/x
  3. Step 3: Cross multiply
    69,202,908x = 147,350,646 × 147,350,646
  4. Step 4: Simplify right side
    69,202,908x = 21,712,212,876,617,316
  5. Step 5: Solve for x
    x = 21,712,212,876,617,316/69,202,908
  6. Step 6: Final answer
    x = 313,747,117.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.