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Finding the Third Proportional to 152,074,675.50 and 312,211,213.50

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Solution

The third proportional to 152,074,675.50 and 312,211,213.50 is: 640,973,531.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,074,675.50 : 312,211,213.50 = 312,211,213.50 : x
  2. Step 2: Convert to fraction form
    152,074,675.50/312,211,213.50 = 312,211,213.50/x
  3. Step 3: Cross multiply
    152,074,675.50x = 312,211,213.50 × 312,211,213.50
  4. Step 4: Simplify right side
    152,074,675.50x = 97,475,841,835,142,576
  5. Step 5: Solve for x
    x = 97,475,841,835,142,576/152,074,675.50
  6. Step 6: Final answer
    x = 640,973,531.69

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.