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Finding the Third Proportional to 194,209,572 and 416,120,466

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Solution

The third proportional to 194,209,572 and 416,120,466 is: 891,594,788.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,209,572 : 416,120,466 = 416,120,466 : x
  2. Step 2: Convert to fraction form
    194,209,572/416,120,466 = 416,120,466/x
  3. Step 3: Cross multiply
    194,209,572x = 416,120,466 × 416,120,466
  4. Step 4: Simplify right side
    194,209,572x = 173,156,242,224,057,152
  5. Step 5: Solve for x
    x = 173,156,242,224,057,152/194,209,572
  6. Step 6: Final answer
    x = 891,594,788.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.