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Finding the Third Proportional to 160,176,215,904 and 242,325,842,112

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Solution

The third proportional to 160,176,215,904 and 242,325,842,112 is: 366,607,572,940.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,176,215,904 : 242,325,842,112 = 242,325,842,112 : x
  2. Step 2: Convert to fraction form
    160,176,215,904/242,325,842,112 = 242,325,842,112/x
  3. Step 3: Cross multiply
    160,176,215,904x = 242,325,842,112 × 242,325,842,112
  4. Step 4: Simplify right side
    160,176,215,904x = 58,721,813,755,289,950,748,672
  5. Step 5: Solve for x
    x = 58,721,813,755,289,950,748,672/160,176,215,904
  6. Step 6: Final answer
    x = 366,607,572,940.07

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