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Finding the Third Proportional to 114,051,283 and 164,784,444

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Solution

The third proportional to 114,051,283 and 164,784,444 is: 238,085,116.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,051,283 : 164,784,444 = 164,784,444 : x
  2. Step 2: Convert to fraction form
    114,051,283/164,784,444 = 164,784,444/x
  3. Step 3: Cross multiply
    114,051,283x = 164,784,444 × 164,784,444
  4. Step 4: Simplify right side
    114,051,283x = 27,153,912,984,389,136
  5. Step 5: Solve for x
    x = 27,153,912,984,389,136/114,051,283
  6. Step 6: Final answer
    x = 238,085,116.36

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.