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Finding the Third Proportional to 117,709,438 and 183,716,466.75

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Solution

The third proportional to 117,709,438 and 183,716,466.75 is: 286,737,756.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,709,438 : 183,716,466.75 = 183,716,466.75 : x
  2. Step 2: Convert to fraction form
    117,709,438/183,716,466.75 = 183,716,466.75/x
  3. Step 3: Cross multiply
    117,709,438x = 183,716,466.75 × 183,716,466.75
  4. Step 4: Simplify right side
    117,709,438x = 33,751,740,155,103,856
  5. Step 5: Solve for x
    x = 33,751,740,155,103,856/117,709,438
  6. Step 6: Final answer
    x = 286,737,756.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.