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Finding the Third Proportional to 152,386,281 and 333,885,563.25

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Solution

The third proportional to 152,386,281 and 333,885,563.25 is: 731,559,091.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,386,281 : 333,885,563.25 = 333,885,563.25 : x
  2. Step 2: Convert to fraction form
    152,386,281/333,885,563.25 = 333,885,563.25/x
  3. Step 3: Cross multiply
    152,386,281x = 333,885,563.25 × 333,885,563.25
  4. Step 4: Simplify right side
    152,386,281x = 111,479,569,346,769,744
  5. Step 5: Solve for x
    x = 111,479,569,346,769,744/152,386,281
  6. Step 6: Final answer
    x = 731,559,091.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.