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Finding the Third Proportional to 92,276,724 and 217,827,887

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Solution

The third proportional to 92,276,724 and 217,827,887 is: 514,203,217.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,276,724 : 217,827,887 = 217,827,887 : x
  2. Step 2: Convert to fraction form
    92,276,724/217,827,887 = 217,827,887/x
  3. Step 3: Cross multiply
    92,276,724x = 217,827,887 × 217,827,887
  4. Step 4: Simplify right side
    92,276,724x = 47,448,988,354,884,768
  5. Step 5: Solve for x
    x = 47,448,988,354,884,768/92,276,724
  6. Step 6: Final answer
    x = 514,203,217.22

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.