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Finding the Third Proportional to 53,476,300.50 and 117,166,228.50

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Solution

The third proportional to 53,476,300.50 and 117,166,228.50 is: 256,710,448.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,476,300.50 : 117,166,228.50 = 117,166,228.50 : x
  2. Step 2: Convert to fraction form
    53,476,300.50/117,166,228.50 = 117,166,228.50/x
  3. Step 3: Cross multiply
    53,476,300.50x = 117,166,228.50 × 117,166,228.50
  4. Step 4: Simplify right side
    53,476,300.50x = 13,727,925,100,914,212
  5. Step 5: Solve for x
    x = 13,727,925,100,914,212/53,476,300.50
  6. Step 6: Final answer
    x = 256,710,448.79

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.