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Finding the Third Proportional to 106,591,837,431 and 237,016,088,385

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Solution

The third proportional to 106,591,837,431 and 237,016,088,385 is: 527,025,591,332.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,591,837,431 : 237,016,088,385 = 237,016,088,385 : x
  2. Step 2: Convert to fraction form
    106,591,837,431/237,016,088,385 = 237,016,088,385/x
  3. Step 3: Cross multiply
    106,591,837,431x = 237,016,088,385 × 237,016,088,385
  4. Step 4: Simplify right side
    106,591,837,431x = 56,176,626,153,326,135,738,368
  5. Step 5: Solve for x
    x = 56,176,626,153,326,135,738,368/106,591,837,431
  6. Step 6: Final answer
    x = 527,025,591,332.84

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.