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Finding the Third Proportional to 207,301,643 and 453,654,550

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Solution

The third proportional to 207,301,643 and 453,654,550 is: 992,768,063.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,301,643 : 453,654,550 = 453,654,550 : x
  2. Step 2: Convert to fraction form
    207,301,643/453,654,550 = 453,654,550/x
  3. Step 3: Cross multiply
    207,301,643x = 453,654,550 × 453,654,550
  4. Step 4: Simplify right side
    207,301,643x = 205,802,450,735,702,496
  5. Step 5: Solve for x
    x = 205,802,450,735,702,496/207,301,643
  6. Step 6: Final answer
    x = 992,768,063.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.