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Finding the Third Proportional to 102,770,842.50 and 242,528,744.25

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Solution

The third proportional to 102,770,842.50 and 242,528,744.25 is: 572,343,189.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,770,842.50 : 242,528,744.25 = 242,528,744.25 : x
  2. Step 2: Convert to fraction form
    102,770,842.50/242,528,744.25 = 242,528,744.25/x
  3. Step 3: Cross multiply
    102,770,842.50x = 242,528,744.25 × 242,528,744.25
  4. Step 4: Simplify right side
    102,770,842.50x = 58,820,191,787,481,912
  5. Step 5: Solve for x
    x = 58,820,191,787,481,912/102,770,842.50
  6. Step 6: Final answer
    x = 572,343,189.53

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.