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Finding the Third Proportional to 107,754,282 and 236,368,239

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Solution

The third proportional to 107,754,282 and 236,368,239 is: 518,493,960.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,754,282 : 236,368,239 = 236,368,239 : x
  2. Step 2: Convert to fraction form
    107,754,282/236,368,239 = 236,368,239/x
  3. Step 3: Cross multiply
    107,754,282x = 236,368,239 × 236,368,239
  4. Step 4: Simplify right side
    107,754,282x = 55,869,944,407,961,120
  5. Step 5: Solve for x
    x = 55,869,944,407,961,120/107,754,282
  6. Step 6: Final answer
    x = 518,493,960.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.