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Finding the Third Proportional to 156,452,643.50 and 325,780,681.50

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Solution

The third proportional to 156,452,643.50 and 325,780,681.50 is: 678,371,742.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,452,643.50 : 325,780,681.50 = 325,780,681.50 : x
  2. Step 2: Convert to fraction form
    156,452,643.50/325,780,681.50 = 325,780,681.50/x
  3. Step 3: Cross multiply
    156,452,643.50x = 325,780,681.50 × 325,780,681.50
  4. Step 4: Simplify right side
    156,452,643.50x = 106,133,052,438,604,448
  5. Step 5: Solve for x
    x = 106,133,052,438,604,448/156,452,643.50
  6. Step 6: Final answer
    x = 678,371,742.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.