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Finding the Third Proportional to 77,167,668,332 and 167,158,215,000

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Solution

The third proportional to 77,167,668,332 and 167,158,215,000 is: 362,092,952,216.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,167,668,332 : 167,158,215,000 = 167,158,215,000 : x
  2. Step 2: Convert to fraction form
    77,167,668,332/167,158,215,000 = 167,158,215,000/x
  3. Step 3: Cross multiply
    77,167,668,332x = 167,158,215,000 × 167,158,215,000
  4. Step 4: Simplify right side
    77,167,668,332x = 27,941,868,841,986,223,505,408
  5. Step 5: Solve for x
    x = 27,941,868,841,986,223,505,408/77,167,668,332
  6. Step 6: Final answer
    x = 362,092,952,216.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.