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Finding the Third Proportional to 137,030,706 and 201,761,091

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Solution

The third proportional to 137,030,706 and 201,761,091 is: 297,068,730.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,030,706 : 201,761,091 = 201,761,091 : x
  2. Step 2: Convert to fraction form
    137,030,706/201,761,091 = 201,761,091/x
  3. Step 3: Cross multiply
    137,030,706x = 201,761,091 × 201,761,091
  4. Step 4: Simplify right side
    137,030,706x = 40,707,537,841,510,280
  5. Step 5: Solve for x
    x = 40,707,537,841,510,280/137,030,706
  6. Step 6: Final answer
    x = 297,068,730.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.