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Finding the Third Proportional to 157,185,779,586 and 341,912,134,260

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Solution

The third proportional to 157,185,779,586 and 341,912,134,260 is: 743,730,812,431.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,185,779,586 : 341,912,134,260 = 341,912,134,260 : x
  2. Step 2: Convert to fraction form
    157,185,779,586/341,912,134,260 = 341,912,134,260/x
  3. Step 3: Cross multiply
    157,185,779,586x = 341,912,134,260 × 341,912,134,260
  4. Step 4: Simplify right side
    157,185,779,586x = 116,903,907,554,228,258,734,080
  5. Step 5: Solve for x
    x = 116,903,907,554,228,258,734,080/157,185,779,586
  6. Step 6: Final answer
    x = 743,730,812,431.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.