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Finding the Third Proportional to 202,053,603 and 436,440,066

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Solution

The third proportional to 202,053,603 and 436,440,066 is: 942,719,795.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,053,603 : 436,440,066 = 436,440,066 : x
  2. Step 2: Convert to fraction form
    202,053,603/436,440,066 = 436,440,066/x
  3. Step 3: Cross multiply
    202,053,603x = 436,440,066 × 436,440,066
  4. Step 4: Simplify right side
    202,053,603x = 190,479,931,210,084,352
  5. Step 5: Solve for x
    x = 190,479,931,210,084,352/202,053,603
  6. Step 6: Final answer
    x = 942,719,795.05

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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.