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Finding the Third Proportional to 83,602,332 and 174,827,521

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Solution

The third proportional to 83,602,332 and 174,827,521 is: 365,595,807.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,602,332 : 174,827,521 = 174,827,521 : x
  2. Step 2: Convert to fraction form
    83,602,332/174,827,521 = 174,827,521/x
  3. Step 3: Cross multiply
    83,602,332x = 174,827,521 × 174,827,521
  4. Step 4: Simplify right side
    83,602,332x = 30,564,662,099,005,440
  5. Step 5: Solve for x
    x = 30,564,662,099,005,440/83,602,332
  6. Step 6: Final answer
    x = 365,595,807.77

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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.