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Finding the Third Proportional to 83,602,486.13 and 174,827,828.25

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Solution

The third proportional to 83,602,486.13 and 174,827,828.25 is: 365,596,418.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,602,486.13 : 174,827,828.25 = 174,827,828.25 : x
  2. Step 2: Convert to fraction form
    83,602,486.13/174,827,828.25 = 174,827,828.25/x
  3. Step 3: Cross multiply
    83,602,486.13x = 174,827,828.25 × 174,827,828.25
  4. Step 4: Simplify right side
    83,602,486.13x = 30,564,769,530,611,500
  5. Step 5: Solve for x
    x = 30,564,769,530,611,500/83,602,486.13
  6. Step 6: Final answer
    x = 365,596,418.81

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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.