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Finding the Third Proportional to 102,778,146 and 168,721,656.75

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Solution

The third proportional to 102,778,146 and 168,721,656.75 is: 276,975,199.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,778,146 : 168,721,656.75 = 168,721,656.75 : x
  2. Step 2: Convert to fraction form
    102,778,146/168,721,656.75 = 168,721,656.75/x
  3. Step 3: Cross multiply
    102,778,146x = 168,721,656.75 × 168,721,656.75
  4. Step 4: Simplify right side
    102,778,146x = 28,466,997,456,464,820
  5. Step 5: Solve for x
    x = 28,466,997,456,464,820/102,778,146
  6. Step 6: Final answer
    x = 276,975,199.15

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.