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Finding the Third Proportional to 86,820,106 and 180,785,141.50

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Solution

The third proportional to 86,820,106 and 180,785,141.50 is: 376,448,139.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,820,106 : 180,785,141.50 = 180,785,141.50 : x
  2. Step 2: Convert to fraction form
    86,820,106/180,785,141.50 = 180,785,141.50/x
  3. Step 3: Cross multiply
    86,820,106x = 180,785,141.50 × 180,785,141.50
  4. Step 4: Simplify right side
    86,820,106x = 32,683,267,387,175,024
  5. Step 5: Solve for x
    x = 32,683,267,387,175,024/86,820,106
  6. Step 6: Final answer
    x = 376,448,139.64

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.