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Finding the Third Proportional to 69,480,945 and 148,503,402

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Solution

The third proportional to 69,480,945 and 148,503,402 is: 317,400,121.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,480,945 : 148,503,402 = 148,503,402 : x
  2. Step 2: Convert to fraction form
    69,480,945/148,503,402 = 148,503,402/x
  3. Step 3: Cross multiply
    69,480,945x = 148,503,402 × 148,503,402
  4. Step 4: Simplify right side
    69,480,945x = 22,053,260,405,573,604
  5. Step 5: Solve for x
    x = 22,053,260,405,573,604/69,480,945
  6. Step 6: Final answer
    x = 317,400,121.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.