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Finding the Third Proportional to 134,727,495,814.50 and 289,888,904,193

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Solution

The third proportional to 134,727,495,814.50 and 289,888,904,193 is: 623,744,813,678.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,727,495,814.50 : 289,888,904,193 = 289,888,904,193 : x
  2. Step 2: Convert to fraction form
    134,727,495,814.50/289,888,904,193 = 289,888,904,193/x
  3. Step 3: Cross multiply
    134,727,495,814.50x = 289,888,904,193 × 289,888,904,193
  4. Step 4: Simplify right side
    134,727,495,814.50x = 84,035,576,774,218,341,154,816
  5. Step 5: Solve for x
    x = 84,035,576,774,218,341,154,816/134,727,495,814.50
  6. Step 6: Final answer
    x = 623,744,813,678.74

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.