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Finding the Third Proportional to 103,084,407 and 144,194,917.50

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Solution

The third proportional to 103,084,407 and 144,194,917.50 is: 201,700,478.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,084,407 : 144,194,917.50 = 144,194,917.50 : x
  2. Step 2: Convert to fraction form
    103,084,407/144,194,917.50 = 144,194,917.50/x
  3. Step 3: Cross multiply
    103,084,407x = 144,194,917.50 × 144,194,917.50
  4. Step 4: Simplify right side
    103,084,407x = 20,792,174,232,831,808
  5. Step 5: Solve for x
    x = 20,792,174,232,831,808/103,084,407
  6. Step 6: Final answer
    x = 201,700,478.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.