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Finding the Third Proportional to 75,524,136 and 116,622,477.75

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Solution

The third proportional to 75,524,136 and 116,622,477.75 is: 180,085,506.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,524,136 : 116,622,477.75 = 116,622,477.75 : x
  2. Step 2: Convert to fraction form
    75,524,136/116,622,477.75 = 116,622,477.75/x
  3. Step 3: Cross multiply
    75,524,136x = 116,622,477.75 × 116,622,477.75
  4. Step 4: Simplify right side
    75,524,136x = 13,600,802,316,549,246
  5. Step 5: Solve for x
    x = 13,600,802,316,549,246/75,524,136
  6. Step 6: Final answer
    x = 180,085,506.92

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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.