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Finding the Third Proportional to 210,311,036 and 486,831,967

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Solution

The third proportional to 210,311,036 and 486,831,967 is: 1,126,927,852.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,311,036 : 486,831,967 = 486,831,967 : x
  2. Step 2: Convert to fraction form
    210,311,036/486,831,967 = 486,831,967/x
  3. Step 3: Cross multiply
    210,311,036x = 486,831,967 × 486,831,967
  4. Step 4: Simplify right side
    210,311,036x = 237,005,364,093,089,088
  5. Step 5: Solve for x
    x = 237,005,364,093,089,088/210,311,036
  6. Step 6: Final answer
    x = 1,126,927,852.20

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.