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Finding the Third Proportional to 99,778,603 and 213,346,514

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Solution

The third proportional to 99,778,603 and 213,346,514 is: 456,177,313.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,778,603 : 213,346,514 = 213,346,514 : x
  2. Step 2: Convert to fraction form
    99,778,603/213,346,514 = 213,346,514/x
  3. Step 3: Cross multiply
    99,778,603x = 213,346,514 × 213,346,514
  4. Step 4: Simplify right side
    99,778,603x = 45,516,735,035,952,192
  5. Step 5: Solve for x
    x = 45,516,735,035,952,192/99,778,603
  6. Step 6: Final answer
    x = 456,177,313.25

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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.