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Finding the Third Proportional to 84,135,783.38 and 129,242,864.63

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Solution

The third proportional to 84,135,783.38 and 129,242,864.63 is: 198,532,864.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,135,783.38 : 129,242,864.63 = 129,242,864.63 : x
  2. Step 2: Convert to fraction form
    84,135,783.38/129,242,864.63 = 129,242,864.63/x
  3. Step 3: Cross multiply
    84,135,783.38x = 129,242,864.63 × 129,242,864.63
  4. Step 4: Simplify right side
    84,135,783.38x = 16,703,718,056,476,076
  5. Step 5: Solve for x
    x = 16,703,718,056,476,076/84,135,783.38
  6. Step 6: Final answer
    x = 198,532,864.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.