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Finding the Third Proportional to 202,053,055.50 and 436,438,719

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Solution

The third proportional to 202,053,055.50 and 436,438,719 is: 942,716,530.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,053,055.50 : 436,438,719 = 436,438,719 : x
  2. Step 2: Convert to fraction form
    202,053,055.50/436,438,719 = 436,438,719/x
  3. Step 3: Cross multiply
    202,053,055.50x = 436,438,719 × 436,438,719
  4. Step 4: Simplify right side
    202,053,055.50x = 190,478,755,442,360,960
  5. Step 5: Solve for x
    x = 190,478,755,442,360,960/202,053,055.50
  6. Step 6: Final answer
    x = 942,716,530.42

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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.