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Finding the Third Proportional to 92,196,484,272 and 205,591,928,594

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Solution

The third proportional to 92,196,484,272 and 205,591,928,594 is: 458,456,105,314.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,196,484,272 : 205,591,928,594 = 205,591,928,594 : x
  2. Step 2: Convert to fraction form
    92,196,484,272/205,591,928,594 = 205,591,928,594/x
  3. Step 3: Cross multiply
    92,196,484,272x = 205,591,928,594 × 205,591,928,594
  4. Step 4: Simplify right side
    92,196,484,272x = 42,268,041,103,000,391,909,376
  5. Step 5: Solve for x
    x = 42,268,041,103,000,391,909,376/92,196,484,272
  6. Step 6: Final answer
    x = 458,456,105,314.17

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.