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Finding the Third Proportional to 210,235,797 and 452,820,260.25

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Solution

The third proportional to 210,235,797 and 452,820,260.25 is: 975,315,293.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,235,797 : 452,820,260.25 = 452,820,260.25 : x
  2. Step 2: Convert to fraction form
    210,235,797/452,820,260.25 = 452,820,260.25/x
  3. Step 3: Cross multiply
    210,235,797x = 452,820,260.25 × 452,820,260.25
  4. Step 4: Simplify right side
    210,235,797x = 205,046,188,092,877,728
  5. Step 5: Solve for x
    x = 205,046,188,092,877,728/210,235,797
  6. Step 6: Final answer
    x = 975,315,293.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.