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Finding the Third Proportional to 83,602,329.75 and 174,827,516.63

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Solution

The third proportional to 83,602,329.75 and 174,827,516.63 is: 365,595,799.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,602,329.75 : 174,827,516.63 = 174,827,516.63 : x
  2. Step 2: Convert to fraction form
    83,602,329.75/174,827,516.63 = 174,827,516.63/x
  3. Step 3: Cross multiply
    83,602,329.75x = 174,827,516.63 × 174,827,516.63
  4. Step 4: Simplify right side
    83,602,329.75x = 30,564,660,569,264,652
  5. Step 5: Solve for x
    x = 30,564,660,569,264,652/83,602,329.75
  6. Step 6: Final answer
    x = 365,595,799.31

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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.