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Finding the Third Proportional to 190,774,240 and 413,241,496.50

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Solution

The third proportional to 190,774,240 and 413,241,496.50 is: 895,134,135.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,774,240 : 413,241,496.50 = 413,241,496.50 : x
  2. Step 2: Convert to fraction form
    190,774,240/413,241,496.50 = 413,241,496.50/x
  3. Step 3: Cross multiply
    190,774,240x = 413,241,496.50 × 413,241,496.50
  4. Step 4: Simplify right side
    190,774,240x = 170,768,534,429,559,520
  5. Step 5: Solve for x
    x = 170,768,534,429,559,520/190,774,240
  6. Step 6: Final answer
    x = 895,134,135.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.