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Finding the Third Proportional to 207,816,249 and 448,581,840

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Solution

The third proportional to 207,816,249 and 448,581,840 is: 968,286,494.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,816,249 : 448,581,840 = 448,581,840 : x
  2. Step 2: Convert to fraction form
    207,816,249/448,581,840 = 448,581,840/x
  3. Step 3: Cross multiply
    207,816,249x = 448,581,840 × 448,581,840
  4. Step 4: Simplify right side
    207,816,249x = 201,225,667,177,785,600
  5. Step 5: Solve for x
    x = 201,225,667,177,785,600/207,816,249
  6. Step 6: Final answer
    x = 968,286,494.18

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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.