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Finding the Third Proportional to 145,908,540 and 227,696,346

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Solution

The third proportional to 145,908,540 and 227,696,346 is: 355,329,619.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,908,540 : 227,696,346 = 227,696,346 : x
  2. Step 2: Convert to fraction form
    145,908,540/227,696,346 = 227,696,346/x
  3. Step 3: Cross multiply
    145,908,540x = 227,696,346 × 227,696,346
  4. Step 4: Simplify right side
    145,908,540x = 51,845,625,981,751,712
  5. Step 5: Solve for x
    x = 51,845,625,981,751,712/145,908,540
  6. Step 6: Final answer
    x = 355,329,619.37

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.