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Finding the Third Proportional to 145,028,154,309 and 312,096,236,331

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Solution

The third proportional to 145,028,154,309 and 312,096,236,331 is: 671,621,735,766.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,028,154,309 : 312,096,236,331 = 312,096,236,331 : x
  2. Step 2: Convert to fraction form
    145,028,154,309/312,096,236,331 = 312,096,236,331/x
  3. Step 3: Cross multiply
    145,028,154,309x = 312,096,236,331 × 312,096,236,331
  4. Step 4: Simplify right side
    145,028,154,309x = 97,404,060,731,975,405,666,304
  5. Step 5: Solve for x
    x = 97,404,060,731,975,405,666,304/145,028,154,309
  6. Step 6: Final answer
    x = 671,621,735,766.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.