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Finding the Third Proportional to 108,741,831.75 and 164,692,126.13

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Solution

The third proportional to 108,741,831.75 and 164,692,126.13 is: 249,430,196.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,741,831.75 : 164,692,126.13 = 164,692,126.13 : x
  2. Step 2: Convert to fraction form
    108,741,831.75/164,692,126.13 = 164,692,126.13/x
  3. Step 3: Cross multiply
    108,741,831.75x = 164,692,126.13 × 164,692,126.13
  4. Step 4: Simplify right side
    108,741,831.75x = 27,123,496,407,572,908
  5. Step 5: Solve for x
    x = 27,123,496,407,572,908/108,741,831.75
  6. Step 6: Final answer
    x = 249,430,196.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.