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Finding the Third Proportional to 66,377,940.75 and 144,860,197.50

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Solution

The third proportional to 66,377,940.75 and 144,860,197.50 is: 316,136,303.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,377,940.75 : 144,860,197.50 = 144,860,197.50 : x
  2. Step 2: Convert to fraction form
    66,377,940.75/144,860,197.50 = 144,860,197.50/x
  3. Step 3: Cross multiply
    66,377,940.75x = 144,860,197.50 × 144,860,197.50
  4. Step 4: Simplify right side
    66,377,940.75x = 20,984,476,819,739,008
  5. Step 5: Solve for x
    x = 20,984,476,819,739,008/66,377,940.75
  6. Step 6: Final answer
    x = 316,136,303.46

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.