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Finding the Third Proportional to 465,039,165.50 and 688,841,340.50

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Solution

The third proportional to 465,039,165.50 and 688,841,340.50 is: 1,020,349,311.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,039,165.50 : 688,841,340.50 = 688,841,340.50 : x
  2. Step 2: Convert to fraction form
    465,039,165.50/688,841,340.50 = 688,841,340.50/x
  3. Step 3: Cross multiply
    465,039,165.50x = 688,841,340.50 × 688,841,340.50
  4. Step 4: Simplify right side
    465,039,165.50x = 474,502,392,381,836,928
  5. Step 5: Solve for x
    x = 474,502,392,381,836,928/465,039,165.50
  6. Step 6: Final answer
    x = 1,020,349,311.59

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.