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Finding the Third Proportional to 145,028,154,303 and 312,096,236,319

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Solution

The third proportional to 145,028,154,303 and 312,096,236,319 is: 671,621,735,742.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,028,154,303 : 312,096,236,319 = 312,096,236,319 : x
  2. Step 2: Convert to fraction form
    145,028,154,303/312,096,236,319 = 312,096,236,319/x
  3. Step 3: Cross multiply
    145,028,154,303x = 312,096,236,319 × 312,096,236,319
  4. Step 4: Simplify right side
    145,028,154,303x = 97,404,060,724,485,100,142,592
  5. Step 5: Solve for x
    x = 97,404,060,724,485,100,142,592/145,028,154,303
  6. Step 6: Final answer
    x = 671,621,735,742.32

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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.