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Finding the Third Proportional to 77,736,024 and 170,116,308

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Solution

The third proportional to 77,736,024 and 170,116,308 is: 372,279,887.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,736,024 : 170,116,308 = 170,116,308 : x
  2. Step 2: Convert to fraction form
    77,736,024/170,116,308 = 170,116,308/x
  3. Step 3: Cross multiply
    77,736,024x = 170,116,308 × 170,116,308
  4. Step 4: Simplify right side
    77,736,024x = 28,939,558,247,550,864
  5. Step 5: Solve for x
    x = 28,939,558,247,550,864/77,736,024
  6. Step 6: Final answer
    x = 372,279,887.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.