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Finding the Third Proportional to 160,176,215,906 and 242,325,842,115

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Solution

The third proportional to 160,176,215,906 and 242,325,842,115 is: 366,607,572,944.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,176,215,906 : 242,325,842,115 = 242,325,842,115 : x
  2. Step 2: Convert to fraction form
    160,176,215,906/242,325,842,115 = 242,325,842,115/x
  3. Step 3: Cross multiply
    160,176,215,906x = 242,325,842,115 × 242,325,842,115
  4. Step 4: Simplify right side
    160,176,215,906x = 58,721,813,756,743,906,230,272
  5. Step 5: Solve for x
    x = 58,721,813,756,743,906,230,272/160,176,215,906
  6. Step 6: Final answer
    x = 366,607,572,944.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.