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Finding the Third Proportional to 201,655,643 and 433,956,901

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Solution

The third proportional to 201,655,643 and 433,956,901 is: 933,862,247.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,655,643 : 433,956,901 = 433,956,901 : x
  2. Step 2: Convert to fraction form
    201,655,643/433,956,901 = 433,956,901/x
  3. Step 3: Cross multiply
    201,655,643x = 433,956,901 × 433,956,901
  4. Step 4: Simplify right side
    201,655,643x = 188,318,591,925,523,808
  5. Step 5: Solve for x
    x = 188,318,591,925,523,808/201,655,643
  6. Step 6: Final answer
    x = 933,862,247.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.