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Finding the Third Proportional to 175,868,869.50 and 375,890,010.75

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Solution

The third proportional to 175,868,869.50 and 375,890,010.75 is: 803,401,423.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,868,869.50 : 375,890,010.75 = 375,890,010.75 : x
  2. Step 2: Convert to fraction form
    175,868,869.50/375,890,010.75 = 375,890,010.75/x
  3. Step 3: Cross multiply
    175,868,869.50x = 375,890,010.75 × 375,890,010.75
  4. Step 4: Simplify right side
    175,868,869.50x = 141,293,300,181,635,120
  5. Step 5: Solve for x
    x = 141,293,300,181,635,120/175,868,869.50
  6. Step 6: Final answer
    x = 803,401,423.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.