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Finding the Third Proportional to 146,280,548 and 314,575,816

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Solution

The third proportional to 146,280,548 and 314,575,816 is: 676,494,211.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,280,548 : 314,575,816 = 314,575,816 : x
  2. Step 2: Convert to fraction form
    146,280,548/314,575,816 = 314,575,816/x
  3. Step 3: Cross multiply
    146,280,548x = 314,575,816 × 314,575,816
  4. Step 4: Simplify right side
    146,280,548x = 98,957,944,012,065,856
  5. Step 5: Solve for x
    x = 98,957,944,012,065,856/146,280,548
  6. Step 6: Final answer
    x = 676,494,211.74

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Why These Related Problems?

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