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Finding the Third Proportional to 76,118,886 and 115,962,813

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Solution

The third proportional to 76,118,886 and 115,962,813 is: 176,662,779.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,118,886 : 115,962,813 = 115,962,813 : x
  2. Step 2: Convert to fraction form
    76,118,886/115,962,813 = 115,962,813/x
  3. Step 3: Cross multiply
    76,118,886x = 115,962,813 × 115,962,813
  4. Step 4: Simplify right side
    76,118,886x = 13,447,373,998,872,968
  5. Step 5: Solve for x
    x = 13,447,373,998,872,968/76,118,886
  6. Step 6: Final answer
    x = 176,662,779.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.