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Finding the Third Proportional to 230,441,323 and 336,913,269

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Solution

The third proportional to 230,441,323 and 336,913,269 is: 492,578,975.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,441,323 : 336,913,269 = 336,913,269 : x
  2. Step 2: Convert to fraction form
    230,441,323/336,913,269 = 336,913,269/x
  3. Step 3: Cross multiply
    230,441,323x = 336,913,269 × 336,913,269
  4. Step 4: Simplify right side
    230,441,323x = 113,510,550,828,266,368
  5. Step 5: Solve for x
    x = 113,510,550,828,266,368/230,441,323
  6. Step 6: Final answer
    x = 492,578,975.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.