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Finding the Third Proportional to 77,670,211.50 and 167,445,832.50

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Solution

The third proportional to 77,670,211.50 and 167,445,832.50 is: 360,989,191.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,670,211.50 : 167,445,832.50 = 167,445,832.50 : x
  2. Step 2: Convert to fraction form
    77,670,211.50/167,445,832.50 = 167,445,832.50/x
  3. Step 3: Cross multiply
    77,670,211.50x = 167,445,832.50 × 167,445,832.50
  4. Step 4: Simplify right side
    77,670,211.50x = 28,038,106,821,618,056
  5. Step 5: Solve for x
    x = 28,038,106,821,618,056/77,670,211.50
  6. Step 6: Final answer
    x = 360,989,191.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.