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Finding the Third Proportional to 65,096,831.81 and 139,253,797.13

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Solution

The third proportional to 65,096,831.81 and 139,253,797.13 is: 297,888,844.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,096,831.81 : 139,253,797.13 = 139,253,797.13 : x
  2. Step 2: Convert to fraction form
    65,096,831.81/139,253,797.13 = 139,253,797.13/x
  3. Step 3: Cross multiply
    65,096,831.81x = 139,253,797.13 × 139,253,797.13
  4. Step 4: Simplify right side
    65,096,831.81x = 19,391,620,013,730,660
  5. Step 5: Solve for x
    x = 19,391,620,013,730,660/65,096,831.81
  6. Step 6: Final answer
    x = 297,888,844.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.