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Finding the Third Proportional to 201,352,833 and 310,647,880.13

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Solution

The third proportional to 201,352,833 and 310,647,880.13 is: 479,268,674.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,352,833 : 310,647,880.13 = 310,647,880.13 : x
  2. Step 2: Convert to fraction form
    201,352,833/310,647,880.13 = 310,647,880.13/x
  3. Step 3: Cross multiply
    201,352,833x = 310,647,880.13 × 310,647,880.13
  4. Step 4: Simplify right side
    201,352,833x = 96,502,105,426,156,368
  5. Step 5: Solve for x
    x = 96,502,105,426,156,368/201,352,833
  6. Step 6: Final answer
    x = 479,268,674.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.