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Finding the Third Proportional to 83,602,464 and 174,827,777

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Solution

The third proportional to 83,602,464 and 174,827,777 is: 365,596,301.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,602,464 : 174,827,777 = 174,827,777 : x
  2. Step 2: Convert to fraction form
    83,602,464/174,827,777 = 174,827,777/x
  3. Step 3: Cross multiply
    83,602,464x = 174,827,777 × 174,827,777
  4. Step 4: Simplify right side
    83,602,464x = 30,564,751,610,761,728
  5. Step 5: Solve for x
    x = 30,564,751,610,761,728/83,602,464
  6. Step 6: Final answer
    x = 365,596,301.21

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.