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Finding the Third Proportional to 137,748,274 and 299,709,266

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Solution

The third proportional to 137,748,274 and 299,709,266 is: 652,099,961.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,748,274 : 299,709,266 = 299,709,266 : x
  2. Step 2: Convert to fraction form
    137,748,274/299,709,266 = 299,709,266/x
  3. Step 3: Cross multiply
    137,748,274x = 299,709,266 × 299,709,266
  4. Step 4: Simplify right side
    137,748,274x = 89,825,644,126,258,752
  5. Step 5: Solve for x
    x = 89,825,644,126,258,752/137,748,274
  6. Step 6: Final answer
    x = 652,099,961.17

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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.