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Finding the Third Proportional to 260,129,013.75 and 380,426,256

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Solution

The third proportional to 260,129,013.75 and 380,426,256 is: 556,355,226.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,129,013.75 : 380,426,256 = 380,426,256 : x
  2. Step 2: Convert to fraction form
    260,129,013.75/380,426,256 = 380,426,256/x
  3. Step 3: Cross multiply
    260,129,013.75x = 380,426,256 × 380,426,256
  4. Step 4: Simplify right side
    260,129,013.75x = 144,724,136,254,177,536
  5. Step 5: Solve for x
    x = 144,724,136,254,177,536/260,129,013.75
  6. Step 6: Final answer
    x = 556,355,226.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.