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Finding the Third Proportional to 85,137,723 and 186,175,300.50

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Solution

The third proportional to 85,137,723 and 186,175,300.50 is: 407,119,679.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,137,723 : 186,175,300.50 = 186,175,300.50 : x
  2. Step 2: Convert to fraction form
    85,137,723/186,175,300.50 = 186,175,300.50/x
  3. Step 3: Cross multiply
    85,137,723x = 186,175,300.50 × 186,175,300.50
  4. Step 4: Simplify right side
    85,137,723x = 34,661,242,516,265,300
  5. Step 5: Solve for x
    x = 34,661,242,516,265,300/85,137,723
  6. Step 6: Final answer
    x = 407,119,679.68

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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.