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Finding the Third Proportional to 235,878,912 and 357,116,364

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Solution

The third proportional to 235,878,912 and 357,116,364 is: 540,667,651.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,878,912 : 357,116,364 = 357,116,364 : x
  2. Step 2: Convert to fraction form
    235,878,912/357,116,364 = 357,116,364/x
  3. Step 3: Cross multiply
    235,878,912x = 357,116,364 × 357,116,364
  4. Step 4: Simplify right side
    235,878,912x = 127,532,097,436,580,496
  5. Step 5: Solve for x
    x = 127,532,097,436,580,496/235,878,912
  6. Step 6: Final answer
    x = 540,667,651.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.