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Finding the Third Proportional to 51,069,712 and 109,217,312

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Solution

The third proportional to 51,069,712 and 109,217,312 is: 233,571,343.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,069,712 : 109,217,312 = 109,217,312 : x
  2. Step 2: Convert to fraction form
    51,069,712/109,217,312 = 109,217,312/x
  3. Step 3: Cross multiply
    51,069,712x = 109,217,312 × 109,217,312
  4. Step 4: Simplify right side
    51,069,712x = 11,928,421,240,505,344
  5. Step 5: Solve for x
    x = 11,928,421,240,505,344/51,069,712
  6. Step 6: Final answer
    x = 233,571,343.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.