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Finding the Third Proportional to 65,908,224 and 143,533,368

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Solution

The third proportional to 65,908,224 and 143,533,368 is: 312,583,566.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,908,224 : 143,533,368 = 143,533,368 : x
  2. Step 2: Convert to fraction form
    65,908,224/143,533,368 = 143,533,368/x
  3. Step 3: Cross multiply
    65,908,224x = 143,533,368 × 143,533,368
  4. Step 4: Simplify right side
    65,908,224x = 20,601,827,729,423,424
  5. Step 5: Solve for x
    x = 20,601,827,729,423,424/65,908,224
  6. Step 6: Final answer
    x = 312,583,566.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.