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Finding the Third Proportional to 201,397,461 and 310,992,913.50

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Solution

The third proportional to 201,397,461 and 310,992,913.50 is: 480,227,465.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,461 : 310,992,913.50 = 310,992,913.50 : x
  2. Step 2: Convert to fraction form
    201,397,461/310,992,913.50 = 310,992,913.50/x
  3. Step 3: Cross multiply
    201,397,461x = 310,992,913.50 × 310,992,913.50
  4. Step 4: Simplify right side
    201,397,461x = 96,716,592,247,218,480
  5. Step 5: Solve for x
    x = 96,716,592,247,218,480/201,397,461
  6. Step 6: Final answer
    x = 480,227,465.47

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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.