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Finding the Third Proportional to 146,142,144 and 314,329,248

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Solution

The third proportional to 146,142,144 and 314,329,248 is: 676,073,810.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,142,144 : 314,329,248 = 314,329,248 : x
  2. Step 2: Convert to fraction form
    146,142,144/314,329,248 = 314,329,248/x
  3. Step 3: Cross multiply
    146,142,144x = 314,329,248 × 314,329,248
  4. Step 4: Simplify right side
    146,142,144x = 98,802,876,148,245,504
  5. Step 5: Solve for x
    x = 98,802,876,148,245,504/146,142,144
  6. Step 6: Final answer
    x = 676,073,810.36

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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.