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Finding the Third Proportional to 129,868,560 and 201,260,506.50

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Solution

The third proportional to 129,868,560 and 201,260,506.50 is: 311,898,364.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,868,560 : 201,260,506.50 = 201,260,506.50 : x
  2. Step 2: Convert to fraction form
    129,868,560/201,260,506.50 = 201,260,506.50/x
  3. Step 3: Cross multiply
    129,868,560x = 201,260,506.50 × 201,260,506.50
  4. Step 4: Simplify right side
    129,868,560x = 40,505,791,476,636,544
  5. Step 5: Solve for x
    x = 40,505,791,476,636,544/129,868,560
  6. Step 6: Final answer
    x = 311,898,364.60

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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.