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Finding the Third Proportional to 201,072,555,172 and 299,865,155,046

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Solution

The third proportional to 201,072,555,172 and 299,865,155,046 is: 447,197,336,970.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,072,555,172 : 299,865,155,046 = 299,865,155,046 : x
  2. Step 2: Convert to fraction form
    201,072,555,172/299,865,155,046 = 299,865,155,046/x
  3. Step 3: Cross multiply
    201,072,555,172x = 299,865,155,046 × 299,865,155,046
  4. Step 4: Simplify right side
    201,072,555,172x = 89,919,111,210,761,617,145,856
  5. Step 5: Solve for x
    x = 89,919,111,210,761,617,145,856/201,072,555,172
  6. Step 6: Final answer
    x = 447,197,336,970.45

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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.