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Finding the Third Proportional to 146,193,664,912 and 197,249,580,312

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Solution

The third proportional to 146,193,664,912 and 197,249,580,312 is: 266,135,998,141.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,193,664,912 : 197,249,580,312 = 197,249,580,312 : x
  2. Step 2: Convert to fraction form
    146,193,664,912/197,249,580,312 = 197,249,580,312/x
  3. Step 3: Cross multiply
    146,193,664,912x = 197,249,580,312 × 197,249,580,312
  4. Step 4: Simplify right side
    146,193,664,912x = 38,907,396,933,260,136,153,088
  5. Step 5: Solve for x
    x = 38,907,396,933,260,136,153,088/146,193,664,912
  6. Step 6: Final answer
    x = 266,135,998,141.10

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.