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Finding the Third Proportional to 146,680,740 and 310,849,184.25

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Solution

The third proportional to 146,680,740 and 310,849,184.25 is: 658,758,711.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,680,740 : 310,849,184.25 = 310,849,184.25 : x
  2. Step 2: Convert to fraction form
    146,680,740/310,849,184.25 = 310,849,184.25/x
  3. Step 3: Cross multiply
    146,680,740x = 310,849,184.25 × 310,849,184.25
  4. Step 4: Simplify right side
    146,680,740x = 96,627,215,348,890,448
  5. Step 5: Solve for x
    x = 96,627,215,348,890,448/146,680,740
  6. Step 6: Final answer
    x = 658,758,711.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.