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Finding the Third Proportional to 145,453,971 and 323,194,758

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Solution

The third proportional to 145,453,971 and 323,194,758 is: 718,129,940.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,453,971 : 323,194,758 = 323,194,758 : x
  2. Step 2: Convert to fraction form
    145,453,971/323,194,758 = 323,194,758/x
  3. Step 3: Cross multiply
    145,453,971x = 323,194,758 × 323,194,758
  4. Step 4: Simplify right side
    145,453,971x = 104,454,851,598,678,560
  5. Step 5: Solve for x
    x = 104,454,851,598,678,560/145,453,971
  6. Step 6: Final answer
    x = 718,129,940.91

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.