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Finding the Third Proportional to 201,072,555,173 and 299,865,155,047.50

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Solution

The third proportional to 201,072,555,173 and 299,865,155,047.50 is: 447,197,336,972.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,072,555,173 : 299,865,155,047.50 = 299,865,155,047.50 : x
  2. Step 2: Convert to fraction form
    201,072,555,173/299,865,155,047.50 = 299,865,155,047.50/x
  3. Step 3: Cross multiply
    201,072,555,173x = 299,865,155,047.50 × 299,865,155,047.50
  4. Step 4: Simplify right side
    201,072,555,173x = 89,919,111,211,661,211,467,776
  5. Step 5: Solve for x
    x = 89,919,111,211,661,211,467,776/201,072,555,173
  6. Step 6: Final answer
    x = 447,197,336,972.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.