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Finding the Third Proportional to 154,989,175,830 and 242,600,391,216

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Solution

The third proportional to 154,989,175,830 and 242,600,391,216 is: 379,735,871,895.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,989,175,830 : 242,600,391,216 = 242,600,391,216 : x
  2. Step 2: Convert to fraction form
    154,989,175,830/242,600,391,216 = 242,600,391,216/x
  3. Step 3: Cross multiply
    154,989,175,830x = 242,600,391,216 × 242,600,391,216
  4. Step 4: Simplify right side
    154,989,175,830x = 58,854,949,818,156,252,659,712
  5. Step 5: Solve for x
    x = 58,854,949,818,156,252,659,712/154,989,175,830
  6. Step 6: Final answer
    x = 379,735,871,895.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.