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Finding the Third Proportional to 171,533,700 and 265,048,006.50

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Solution

The third proportional to 171,533,700 and 265,048,006.50 is: 409,543,114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,533,700 : 265,048,006.50 = 265,048,006.50 : x
  2. Step 2: Convert to fraction form
    171,533,700/265,048,006.50 = 265,048,006.50/x
  3. Step 3: Cross multiply
    171,533,700x = 265,048,006.50 × 265,048,006.50
  4. Step 4: Simplify right side
    171,533,700x = 70,250,445,749,624,040
  5. Step 5: Solve for x
    x = 70,250,445,749,624,040/171,533,700
  6. Step 6: Final answer
    x = 409,543,114.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.