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Finding the Third Proportional to 175,975,219.50 and 266,227,769.25

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Solution

The third proportional to 175,975,219.50 and 266,227,769.25 is: 402,768,215.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,975,219.50 : 266,227,769.25 = 266,227,769.25 : x
  2. Step 2: Convert to fraction form
    175,975,219.50/266,227,769.25 = 266,227,769.25/x
  3. Step 3: Cross multiply
    175,975,219.50x = 266,227,769.25 × 266,227,769.25
  4. Step 4: Simplify right side
    175,975,219.50x = 70,877,225,119,831,248
  5. Step 5: Solve for x
    x = 70,877,225,119,831,248/175,975,219.50
  6. Step 6: Final answer
    x = 402,768,215.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.