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Finding the Third Proportional to 201,349,526 and 310,925,701

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Solution

The third proportional to 201,349,526 and 310,925,701 is: 480,134,189.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,349,526 : 310,925,701 = 310,925,701 : x
  2. Step 2: Convert to fraction form
    201,349,526/310,925,701 = 310,925,701/x
  3. Step 3: Cross multiply
    201,349,526x = 310,925,701 × 310,925,701
  4. Step 4: Simplify right side
    201,349,526x = 96,674,791,542,341,408
  5. Step 5: Solve for x
    x = 96,674,791,542,341,408/201,349,526
  6. Step 6: Final answer
    x = 480,134,189.85

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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.