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Finding the Third Proportional to 100,812,823 and 155,696,347.50

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Solution

The third proportional to 100,812,823 and 155,696,347.50 is: 240,459,020.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,812,823 : 155,696,347.50 = 155,696,347.50 : x
  2. Step 2: Convert to fraction form
    100,812,823/155,696,347.50 = 155,696,347.50/x
  3. Step 3: Cross multiply
    100,812,823x = 155,696,347.50 × 155,696,347.50
  4. Step 4: Simplify right side
    100,812,823x = 24,241,352,624,840,756
  5. Step 5: Solve for x
    x = 24,241,352,624,840,756/100,812,823
  6. Step 6: Final answer
    x = 240,459,020.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.