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Finding the Third Proportional to 50,148,413 and 109,199,643

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Solution

The third proportional to 50,148,413 and 109,199,643 is: 237,785,431.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,148,413 : 109,199,643 = 109,199,643 : x
  2. Step 2: Convert to fraction form
    50,148,413/109,199,643 = 109,199,643/x
  3. Step 3: Cross multiply
    50,148,413x = 109,199,643 × 109,199,643
  4. Step 4: Simplify right side
    50,148,413x = 11,924,562,031,327,448
  5. Step 5: Solve for x
    x = 11,924,562,031,327,448/50,148,413
  6. Step 6: Final answer
    x = 237,785,431.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.