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Finding the Third Proportional to 45,500,767.50 and 97,378,824

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Solution

The third proportional to 45,500,767.50 and 97,378,824 is: 208,406,053.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,500,767.50 : 97,378,824 = 97,378,824 : x
  2. Step 2: Convert to fraction form
    45,500,767.50/97,378,824 = 97,378,824/x
  3. Step 3: Cross multiply
    45,500,767.50x = 97,378,824 × 97,378,824
  4. Step 4: Simplify right side
    45,500,767.50x = 9,482,635,363,622,976
  5. Step 5: Solve for x
    x = 9,482,635,363,622,976/45,500,767.50
  6. Step 6: Final answer
    x = 208,406,053.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.