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Finding the Third Proportional to 155,105,464 and 240,170,262

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Solution

The third proportional to 155,105,464 and 240,170,262 is: 371,887,316.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,105,464 : 240,170,262 = 240,170,262 : x
  2. Step 2: Convert to fraction form
    155,105,464/240,170,262 = 240,170,262/x
  3. Step 3: Cross multiply
    155,105,464x = 240,170,262 × 240,170,262
  4. Step 4: Simplify right side
    155,105,464x = 57,681,754,749,148,640
  5. Step 5: Solve for x
    x = 57,681,754,749,148,640/155,105,464
  6. Step 6: Final answer
    x = 371,887,316.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.