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Finding the Third Proportional to 243,620,235 and 526,071,942

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Solution

The third proportional to 243,620,235 and 526,071,942 is: 1,135,996,310.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,620,235 : 526,071,942 = 526,071,942 : x
  2. Step 2: Convert to fraction form
    243,620,235/526,071,942 = 526,071,942/x
  3. Step 3: Cross multiply
    243,620,235x = 526,071,942 × 526,071,942
  4. Step 4: Simplify right side
    243,620,235x = 276,751,688,159,651,360
  5. Step 5: Solve for x
    x = 276,751,688,159,651,360/243,620,235
  6. Step 6: Final answer
    x = 1,135,996,310.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.