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Finding the Third Proportional to 160,176,215,912 and 242,325,842,124

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Solution

The third proportional to 160,176,215,912 and 242,325,842,124 is: 366,607,572,958.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,176,215,912 : 242,325,842,124 = 242,325,842,124 : x
  2. Step 2: Convert to fraction form
    160,176,215,912/242,325,842,124 = 242,325,842,124/x
  3. Step 3: Cross multiply
    160,176,215,912x = 242,325,842,124 × 242,325,842,124
  4. Step 4: Simplify right side
    160,176,215,912x = 58,721,813,761,105,772,675,072
  5. Step 5: Solve for x
    x = 58,721,813,761,105,772,675,072/160,176,215,912
  6. Step 6: Final answer
    x = 366,607,572,958.07

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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.