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Finding the Third Proportional to 122,460,582,890 and 191,684,259,029

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Solution

The third proportional to 122,460,582,890 and 191,684,259,029 is: 300,038,218,767.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,460,582,890 : 191,684,259,029 = 191,684,259,029 : x
  2. Step 2: Convert to fraction form
    122,460,582,890/191,684,259,029 = 191,684,259,029/x
  3. Step 3: Cross multiply
    122,460,582,890x = 191,684,259,029 × 191,684,259,029
  4. Step 4: Simplify right side
    122,460,582,890x = 36,742,855,159,496,767,963,136
  5. Step 5: Solve for x
    x = 36,742,855,159,496,767,963,136/122,460,582,890
  6. Step 6: Final answer
    x = 300,038,218,767.10

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.