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Finding the Third Proportional to 212,255,196 and 456,982,968

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Solution

The third proportional to 212,255,196 and 456,982,968 is: 983,879,014.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,255,196 : 456,982,968 = 456,982,968 : x
  2. Step 2: Convert to fraction form
    212,255,196/456,982,968 = 456,982,968/x
  3. Step 3: Cross multiply
    212,255,196x = 456,982,968 × 456,982,968
  4. Step 4: Simplify right side
    212,255,196x = 208,833,433,042,089,024
  5. Step 5: Solve for x
    x = 208,833,433,042,089,024/212,255,196
  6. Step 6: Final answer
    x = 983,879,014.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.