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Finding the Third Proportional to 45,430,067 and 99,186,046

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Solution

The third proportional to 45,430,067 and 99,186,046 is: 216,549,795.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,430,067 : 99,186,046 = 99,186,046 : x
  2. Step 2: Convert to fraction form
    45,430,067/99,186,046 = 99,186,046/x
  3. Step 3: Cross multiply
    45,430,067x = 99,186,046 × 99,186,046
  4. Step 4: Simplify right side
    45,430,067x = 9,837,871,721,114,116
  5. Step 5: Solve for x
    x = 9,837,871,721,114,116/45,430,067
  6. Step 6: Final answer
    x = 216,549,795.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.