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Finding the Third Proportional to 160,594,769,586 and 242,961,003,332

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Solution

The third proportional to 160,594,769,586 and 242,961,003,332 is: 367,571,430,204.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,594,769,586 : 242,961,003,332 = 242,961,003,332 : x
  2. Step 2: Convert to fraction form
    160,594,769,586/242,961,003,332 = 242,961,003,332/x
  3. Step 3: Cross multiply
    160,594,769,586x = 242,961,003,332 × 242,961,003,332
  4. Step 4: Simplify right side
    160,594,769,586x = 59,030,049,140,092,117,712,896
  5. Step 5: Solve for x
    x = 59,030,049,140,092,117,712,896/160,594,769,586
  6. Step 6: Final answer
    x = 367,571,430,204.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.