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Finding the Third Proportional to 136,400,276 and 292,207,914

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Solution

The third proportional to 136,400,276 and 292,207,914 is: 625,991,878.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,400,276 : 292,207,914 = 292,207,914 : x
  2. Step 2: Convert to fraction form
    136,400,276/292,207,914 = 292,207,914/x
  3. Step 3: Cross multiply
    136,400,276x = 292,207,914 × 292,207,914
  4. Step 4: Simplify right side
    136,400,276x = 85,385,465,004,231,392
  5. Step 5: Solve for x
    x = 85,385,465,004,231,392/136,400,276
  6. Step 6: Final answer
    x = 625,991,878.52

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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.