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Finding the Third Proportional to 114,051,281 and 164,784,441.50

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Solution

The third proportional to 114,051,281 and 164,784,441.50 is: 238,085,113.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,051,281 : 164,784,441.50 = 164,784,441.50 : x
  2. Step 2: Convert to fraction form
    114,051,281/164,784,441.50 = 164,784,441.50/x
  3. Step 3: Cross multiply
    114,051,281x = 164,784,441.50 × 164,784,441.50
  4. Step 4: Simplify right side
    114,051,281x = 27,153,912,160,466,924
  5. Step 5: Solve for x
    x = 27,153,912,160,466,924/114,051,281
  6. Step 6: Final answer
    x = 238,085,113.31

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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.