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Finding the Third Proportional to 77,355,550 and 116,033,339

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Solution

The third proportional to 77,355,550 and 116,033,339 is: 174,050,029.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,355,550 : 116,033,339 = 116,033,339 : x
  2. Step 2: Convert to fraction form
    77,355,550/116,033,339 = 116,033,339/x
  3. Step 3: Cross multiply
    77,355,550x = 116,033,339 × 116,033,339
  4. Step 4: Simplify right side
    77,355,550x = 13,463,735,759,488,920
  5. Step 5: Solve for x
    x = 13,463,735,759,488,920/77,355,550
  6. Step 6: Final answer
    x = 174,050,029.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.