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Finding the Third Proportional to 94,532,220 and 205,198,020

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Solution

The third proportional to 94,532,220 and 205,198,020 is: 445,416,678.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,532,220 : 205,198,020 = 205,198,020 : x
  2. Step 2: Convert to fraction form
    94,532,220/205,198,020 = 205,198,020/x
  3. Step 3: Cross multiply
    94,532,220x = 205,198,020 × 205,198,020
  4. Step 4: Simplify right side
    94,532,220x = 42,106,227,411,920,400
  5. Step 5: Solve for x
    x = 42,106,227,411,920,400/94,532,220
  6. Step 6: Final answer
    x = 445,416,678.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.