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Finding the Third Proportional to 140,713,932 and 212,178,264

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Solution

The third proportional to 140,713,932 and 212,178,264 is: 319,937,159.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,713,932 : 212,178,264 = 212,178,264 : x
  2. Step 2: Convert to fraction form
    140,713,932/212,178,264 = 212,178,264/x
  3. Step 3: Cross multiply
    140,713,932x = 212,178,264 × 212,178,264
  4. Step 4: Simplify right side
    140,713,932x = 45,019,615,714,053,696
  5. Step 5: Solve for x
    x = 45,019,615,714,053,696/140,713,932
  6. Step 6: Final answer
    x = 319,937,159.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.