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Finding the Third Proportional to 197,692,983 and 411,748,740

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Solution

The third proportional to 197,692,983 and 411,748,740 is: 857,577,352.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,692,983 : 411,748,740 = 411,748,740 : x
  2. Step 2: Convert to fraction form
    197,692,983/411,748,740 = 411,748,740/x
  3. Step 3: Cross multiply
    197,692,983x = 411,748,740 × 411,748,740
  4. Step 4: Simplify right side
    197,692,983x = 169,537,024,891,587,584
  5. Step 5: Solve for x
    x = 169,537,024,891,587,584/197,692,983
  6. Step 6: Final answer
    x = 857,577,352.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.