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Finding the Third Proportional to 194,254,053 and 416,200,143

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Solution

The third proportional to 194,254,053 and 416,200,143 is: 891,732,019.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,254,053 : 416,200,143 = 416,200,143 : x
  2. Step 2: Convert to fraction form
    194,254,053/416,200,143 = 416,200,143/x
  3. Step 3: Cross multiply
    194,254,053x = 416,200,143 × 416,200,143
  4. Step 4: Simplify right side
    194,254,053x = 173,222,559,033,220,448
  5. Step 5: Solve for x
    x = 173,222,559,033,220,448/194,254,053
  6. Step 6: Final answer
    x = 891,732,019.79

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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.