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Finding the Third Proportional to 98,262,142.88 and 210,327,779.25

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Solution

The third proportional to 98,262,142.88 and 210,327,779.25 is: 450,201,607.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,262,142.88 : 210,327,779.25 = 210,327,779.25 : x
  2. Step 2: Convert to fraction form
    98,262,142.88/210,327,779.25 = 210,327,779.25/x
  3. Step 3: Cross multiply
    98,262,142.88x = 210,327,779.25 × 210,327,779.25
  4. Step 4: Simplify right side
    98,262,142.88x = 44,237,774,724,236,728
  5. Step 5: Solve for x
    x = 44,237,774,724,236,728/98,262,142.88
  6. Step 6: Final answer
    x = 450,201,607.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.