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Finding the Third Proportional to 83,602,361.25 and 174,827,577.75

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Solution

The third proportional to 83,602,361.25 and 174,827,577.75 is: 365,595,917.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,602,361.25 : 174,827,577.75 = 174,827,577.75 : x
  2. Step 2: Convert to fraction form
    83,602,361.25/174,827,577.75 = 174,827,577.75/x
  3. Step 3: Cross multiply
    83,602,361.25x = 174,827,577.75 × 174,827,577.75
  4. Step 4: Simplify right side
    83,602,361.25x = 30,564,681,941,932,296
  5. Step 5: Solve for x
    x = 30,564,681,941,932,296/83,602,361.25
  6. Step 6: Final answer
    x = 365,595,917.21

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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.