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Finding the Third Proportional to 97,630,827.75 and 208,502,415

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Solution

The third proportional to 97,630,827.75 and 208,502,415 is: 445,282,069.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,630,827.75 : 208,502,415 = 208,502,415 : x
  2. Step 2: Convert to fraction form
    97,630,827.75/208,502,415 = 208,502,415/x
  3. Step 3: Cross multiply
    97,630,827.75x = 208,502,415 × 208,502,415
  4. Step 4: Simplify right side
    97,630,827.75x = 43,473,257,060,832,224
  5. Step 5: Solve for x
    x = 43,473,257,060,832,224/97,630,827.75
  6. Step 6: Final answer
    x = 445,282,069.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.