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Finding the Third Proportional to 273,271,959 and 590,088,543.50

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Solution

The third proportional to 273,271,959 and 590,088,543.50 is: 1,274,204,973.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,271,959 : 590,088,543.50 = 590,088,543.50 : x
  2. Step 2: Convert to fraction form
    273,271,959/590,088,543.50 = 590,088,543.50/x
  3. Step 3: Cross multiply
    273,271,959x = 590,088,543.50 × 590,088,543.50
  4. Step 4: Simplify right side
    273,271,959x = 348,204,489,169,951,424
  5. Step 5: Solve for x
    x = 348,204,489,169,951,424/273,271,959
  6. Step 6: Final answer
    x = 1,274,204,973.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.