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Finding the Third Proportional to 182,919,408 and 392,362,716

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Solution

The third proportional to 182,919,408 and 392,362,716 is: 841,619,282.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,919,408 : 392,362,716 = 392,362,716 : x
  2. Step 2: Convert to fraction form
    182,919,408/392,362,716 = 392,362,716/x
  3. Step 3: Cross multiply
    182,919,408x = 392,362,716 × 392,362,716
  4. Step 4: Simplify right side
    182,919,408x = 153,948,500,906,896,640
  5. Step 5: Solve for x
    x = 153,948,500,906,896,640/182,919,408
  6. Step 6: Final answer
    x = 841,619,282.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.