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Finding the Third Proportional to 142,235,968 and 310,315,560

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Solution

The third proportional to 142,235,968 and 310,315,560 is: 677,014,036.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,235,968 : 310,315,560 = 310,315,560 : x
  2. Step 2: Convert to fraction form
    142,235,968/310,315,560 = 310,315,560/x
  3. Step 3: Cross multiply
    142,235,968x = 310,315,560 × 310,315,560
  4. Step 4: Simplify right side
    142,235,968x = 96,295,746,778,113,600
  5. Step 5: Solve for x
    x = 96,295,746,778,113,600/142,235,968
  6. Step 6: Final answer
    x = 677,014,036.13

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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.