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Finding the Third Proportional to 111,766,636.90 and 166,559,637.13

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Solution

The third proportional to 111,766,636.90 and 166,559,637.13 is: 248,214,614.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,766,636.90 : 166,559,637.13 = 166,559,637.13 : x
  2. Step 2: Convert to fraction form
    111,766,636.90/166,559,637.13 = 166,559,637.13/x
  3. Step 3: Cross multiply
    111,766,636.90x = 166,559,637.13 × 166,559,637.13
  4. Step 4: Simplify right side
    111,766,636.90x = 27,742,112,720,514,176
  5. Step 5: Solve for x
    x = 27,742,112,720,514,176/111,766,636.90
  6. Step 6: Final answer
    x = 248,214,614.76

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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.