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Finding the Third Proportional to 107,549,376 and 165,311,136

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Solution

The third proportional to 107,549,376 and 165,311,136 is: 254,095,120.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,549,376 : 165,311,136 = 165,311,136 : x
  2. Step 2: Convert to fraction form
    107,549,376/165,311,136 = 165,311,136/x
  3. Step 3: Cross multiply
    107,549,376x = 165,311,136 × 165,311,136
  4. Step 4: Simplify right side
    107,549,376x = 27,327,771,685,610,496
  5. Step 5: Solve for x
    x = 27,327,771,685,610,496/107,549,376
  6. Step 6: Final answer
    x = 254,095,120.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.