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Finding the Third Proportional to 202,708,699.50 and 442,573,981.50

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Solution

The third proportional to 202,708,699.50 and 442,573,981.50 is: 966,271,943.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,708,699.50 : 442,573,981.50 = 442,573,981.50 : x
  2. Step 2: Convert to fraction form
    202,708,699.50/442,573,981.50 = 442,573,981.50/x
  3. Step 3: Cross multiply
    202,708,699.50x = 442,573,981.50 × 442,573,981.50
  4. Step 4: Simplify right side
    202,708,699.50x = 195,871,729,100,762,336
  5. Step 5: Solve for x
    x = 195,871,729,100,762,336/202,708,699.50
  6. Step 6: Final answer
    x = 966,271,943.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.