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Finding the Third Proportional to 65,102,364 and 100,714,746

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Solution

The third proportional to 65,102,364 and 100,714,746 is: 155,807,860.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,102,364 : 100,714,746 = 100,714,746 : x
  2. Step 2: Convert to fraction form
    65,102,364/100,714,746 = 100,714,746/x
  3. Step 3: Cross multiply
    65,102,364x = 100,714,746 × 100,714,746
  4. Step 4: Simplify right side
    65,102,364x = 10,143,460,061,844,516
  5. Step 5: Solve for x
    x = 10,143,460,061,844,516/65,102,364
  6. Step 6: Final answer
    x = 155,807,860.71

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.