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Finding the Third Proportional to 146,280,544 and 314,575,808

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Solution

The third proportional to 146,280,544 and 314,575,808 is: 676,494,195.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,280,544 : 314,575,808 = 314,575,808 : x
  2. Step 2: Convert to fraction form
    146,280,544/314,575,808 = 314,575,808/x
  3. Step 3: Cross multiply
    146,280,544x = 314,575,808 × 314,575,808
  4. Step 4: Simplify right side
    146,280,544x = 98,957,938,978,852,864
  5. Step 5: Solve for x
    x = 98,957,938,978,852,864/146,280,544
  6. Step 6: Final answer
    x = 676,494,195.83

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.