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Finding the Third Proportional to 137,753,166 and 299,719,335

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Solution

The third proportional to 137,753,166 and 299,719,335 is: 652,120,618.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,753,166 : 299,719,335 = 299,719,335 : x
  2. Step 2: Convert to fraction form
    137,753,166/299,719,335 = 299,719,335/x
  3. Step 3: Cross multiply
    137,753,166x = 299,719,335 × 299,719,335
  4. Step 4: Simplify right side
    137,753,166x = 89,831,679,772,842,224
  5. Step 5: Solve for x
    x = 89,831,679,772,842,224/137,753,166
  6. Step 6: Final answer
    x = 652,120,618.21

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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.