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Finding the Third Proportional to 76,015,798 and 165,965,316

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Solution

The third proportional to 76,015,798 and 165,965,316 is: 362,352,127.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,015,798 : 165,965,316 = 165,965,316 : x
  2. Step 2: Convert to fraction form
    76,015,798/165,965,316 = 165,965,316/x
  3. Step 3: Cross multiply
    76,015,798x = 165,965,316 × 165,965,316
  4. Step 4: Simplify right side
    76,015,798x = 27,544,486,114,979,856
  5. Step 5: Solve for x
    x = 27,544,486,114,979,856/76,015,798
  6. Step 6: Final answer
    x = 362,352,127.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.