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Finding the Third Proportional to 60,967,296 and 131,506,560

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Solution

The third proportional to 60,967,296 and 131,506,560 is: 283,659,871.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,967,296 : 131,506,560 = 131,506,560 : x
  2. Step 2: Convert to fraction form
    60,967,296/131,506,560 = 131,506,560/x
  3. Step 3: Cross multiply
    60,967,296x = 131,506,560 × 131,506,560
  4. Step 4: Simplify right side
    60,967,296x = 17,293,975,323,033,600
  5. Step 5: Solve for x
    x = 17,293,975,323,033,600/60,967,296
  6. Step 6: Final answer
    x = 283,659,871.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.