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Finding the Third Proportional to 85,137,221.81 and 186,174,207

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Solution

The third proportional to 85,137,221.81 and 186,174,207 is: 407,117,293.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,137,221.81 : 186,174,207 = 186,174,207 : x
  2. Step 2: Convert to fraction form
    85,137,221.81/186,174,207 = 186,174,207/x
  3. Step 3: Cross multiply
    85,137,221.81x = 186,174,207 × 186,174,207
  4. Step 4: Simplify right side
    85,137,221.81x = 34,660,835,352,078,848
  5. Step 5: Solve for x
    x = 34,660,835,352,078,848/85,137,221.81
  6. Step 6: Final answer
    x = 407,117,293.87

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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.