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Finding the Third Proportional to 110,652,166.13 and 165,081,442.50

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Solution

The third proportional to 110,652,166.13 and 165,081,442.50 is: 246,284,222.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,652,166.13 : 165,081,442.50 = 165,081,442.50 : x
  2. Step 2: Convert to fraction form
    110,652,166.13/165,081,442.50 = 165,081,442.50/x
  3. Step 3: Cross multiply
    110,652,166.13x = 165,081,442.50 × 165,081,442.50
  4. Step 4: Simplify right side
    110,652,166.13x = 27,251,882,657,880,808
  5. Step 5: Solve for x
    x = 27,251,882,657,880,808/110,652,166.13
  6. Step 6: Final answer
    x = 246,284,222.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.