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Finding the Third Proportional to 207,157,869.50 and 448,796,023

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Solution

The third proportional to 207,157,869.50 and 448,796,023 is: 972,291,666.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,157,869.50 : 448,796,023 = 448,796,023 : x
  2. Step 2: Convert to fraction form
    207,157,869.50/448,796,023 = 448,796,023/x
  3. Step 3: Cross multiply
    207,157,869.50x = 448,796,023 × 448,796,023
  4. Step 4: Simplify right side
    207,157,869.50x = 201,417,870,260,616,544
  5. Step 5: Solve for x
    x = 201,417,870,260,616,544/207,157,869.50
  6. Step 6: Final answer
    x = 972,291,666.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.