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Finding the Third Proportional to 78,640,389 and 117,960,598.50

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Solution

The third proportional to 78,640,389 and 117,960,598.50 is: 176,940,920.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,640,389 : 117,960,598.50 = 117,960,598.50 : x
  2. Step 2: Convert to fraction form
    78,640,389/117,960,598.50 = 117,960,598.50/x
  3. Step 3: Cross multiply
    78,640,389x = 117,960,598.50 × 117,960,598.50
  4. Step 4: Simplify right side
    78,640,389x = 13,914,702,798,478,202
  5. Step 5: Solve for x
    x = 13,914,702,798,478,202/78,640,389
  6. Step 6: Final answer
    x = 176,940,920.25

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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.