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Finding the Third Proportional to 158,310,076 and 242,173,374

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Solution

The third proportional to 158,310,076 and 242,173,374 is: 370,462,478.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,310,076 : 242,173,374 = 242,173,374 : x
  2. Step 2: Convert to fraction form
    158,310,076/242,173,374 = 242,173,374/x
  3. Step 3: Cross multiply
    158,310,076x = 242,173,374 × 242,173,374
  4. Step 4: Simplify right side
    158,310,076x = 58,647,943,074,543,872
  5. Step 5: Solve for x
    x = 58,647,943,074,543,872/158,310,076
  6. Step 6: Final answer
    x = 370,462,478.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.