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Finding the Third Proportional to 207,816,242.63 and 448,581,827.25

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Solution

The third proportional to 207,816,242.63 and 448,581,827.25 is: 968,286,468.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,816,242.63 : 448,581,827.25 = 448,581,827.25 : x
  2. Step 2: Convert to fraction form
    207,816,242.63/448,581,827.25 = 448,581,827.25/x
  3. Step 3: Cross multiply
    207,816,242.63x = 448,581,827.25 × 448,581,827.25
  4. Step 4: Simplify right side
    207,816,242.63x = 201,225,655,738,948,832
  5. Step 5: Solve for x
    x = 201,225,655,738,948,832/207,816,242.63
  6. Step 6: Final answer
    x = 968,286,468.84

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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.