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Finding the Third Proportional to 145,453,092 and 313,979,466

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Solution

The third proportional to 145,453,092 and 313,979,466 is: 677,765,619.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,453,092 : 313,979,466 = 313,979,466 : x
  2. Step 2: Convert to fraction form
    145,453,092/313,979,466 = 313,979,466/x
  3. Step 3: Cross multiply
    145,453,092x = 313,979,466 × 313,979,466
  4. Step 4: Simplify right side
    145,453,092x = 98,583,105,069,645,152
  5. Step 5: Solve for x
    x = 98,583,105,069,645,152/145,453,092
  6. Step 6: Final answer
    x = 677,765,619.93

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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.