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Finding the Third Proportional to 147,066,356 and 232,765,254

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Solution

The third proportional to 147,066,356 and 232,765,254 is: 368,402,841.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,066,356 : 232,765,254 = 232,765,254 : x
  2. Step 2: Convert to fraction form
    147,066,356/232,765,254 = 232,765,254/x
  3. Step 3: Cross multiply
    147,066,356x = 232,765,254 × 232,765,254
  4. Step 4: Simplify right side
    147,066,356x = 54,179,663,469,684,512
  5. Step 5: Solve for x
    x = 54,179,663,469,684,512/147,066,356
  6. Step 6: Final answer
    x = 368,402,841.71

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.