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Finding the Third Proportional to 42,733,075.50 and 86,976,365.63

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Solution

The third proportional to 42,733,075.50 and 86,976,365.63 is: 177,026,532.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,733,075.50 : 86,976,365.63 = 86,976,365.63 : x
  2. Step 2: Convert to fraction form
    42,733,075.50/86,976,365.63 = 86,976,365.63/x
  3. Step 3: Cross multiply
    42,733,075.50x = 86,976,365.63 × 86,976,365.63
  4. Step 4: Simplify right side
    42,733,075.50x = 7,564,888,177,333,682
  5. Step 5: Solve for x
    x = 7,564,888,177,333,682/42,733,075.50
  6. Step 6: Final answer
    x = 177,026,532.47

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.