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Finding the Third Proportional to 160,210,097 and 328,913,407

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Solution

The third proportional to 160,210,097 and 328,913,407 is: 675,263,490.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,210,097 : 328,913,407 = 328,913,407 : x
  2. Step 2: Convert to fraction form
    160,210,097/328,913,407 = 328,913,407/x
  3. Step 3: Cross multiply
    160,210,097x = 328,913,407 × 328,913,407
  4. Step 4: Simplify right side
    160,210,097x = 108,184,029,304,347,648
  5. Step 5: Solve for x
    x = 108,184,029,304,347,648/160,210,097
  6. Step 6: Final answer
    x = 675,263,490.44

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.