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Finding the Third Proportional to 118,209,217,584 and 183,191,741,226

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Solution

The third proportional to 118,209,217,584 and 183,191,741,226 is: 283,896,761,515.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,209,217,584 : 183,191,741,226 = 183,191,741,226 : x
  2. Step 2: Convert to fraction form
    118,209,217,584/183,191,741,226 = 183,191,741,226/x
  3. Step 3: Cross multiply
    118,209,217,584x = 183,191,741,226 × 183,191,741,226
  4. Step 4: Simplify right side
    118,209,217,584x = 33,559,214,053,413,749,784,576
  5. Step 5: Solve for x
    x = 33,559,214,053,413,749,784,576/118,209,217,584
  6. Step 6: Final answer
    x = 283,896,761,515.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.