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Finding the Third Proportional to 99,668,075.06 and 155,993,865.19

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Solution

The third proportional to 99,668,075.06 and 155,993,865.19 is: 244,151,258.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,668,075.06 : 155,993,865.19 = 155,993,865.19 : x
  2. Step 2: Convert to fraction form
    99,668,075.06/155,993,865.19 = 155,993,865.19/x
  3. Step 3: Cross multiply
    99,668,075.06x = 155,993,865.19 × 155,993,865.19
  4. Step 4: Simplify right side
    99,668,075.06x = 24,334,085,976,135,924
  5. Step 5: Solve for x
    x = 24,334,085,976,135,924/99,668,075.06
  6. Step 6: Final answer
    x = 244,151,258.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.