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Finding the Third Proportional to 241,661,543.66 and 357,962,265.35

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Solution

The third proportional to 241,661,543.66 and 357,962,265.35 is: 530,233,240.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,661,543.66 : 357,962,265.35 = 357,962,265.35 : x
  2. Step 2: Convert to fraction form
    241,661,543.66/357,962,265.35 = 357,962,265.35/x
  3. Step 3: Cross multiply
    241,661,543.66x = 357,962,265.35 × 357,962,265.35
  4. Step 4: Simplify right side
    241,661,543.66x = 128,136,983,415,634,992
  5. Step 5: Solve for x
    x = 128,136,983,415,634,992/241,661,543.66
  6. Step 6: Final answer
    x = 530,233,240.57

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.