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Finding the Third Proportional to 156,281,275 and 340,334,534

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Solution

The third proportional to 156,281,275 and 340,334,534 is: 741,148,259.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,281,275 : 340,334,534 = 340,334,534 : x
  2. Step 2: Convert to fraction form
    156,281,275/340,334,534 = 340,334,534/x
  3. Step 3: Cross multiply
    156,281,275x = 340,334,534 × 340,334,534
  4. Step 4: Simplify right side
    156,281,275x = 115,827,595,032,997,152
  5. Step 5: Solve for x
    x = 115,827,595,032,997,152/156,281,275
  6. Step 6: Final answer
    x = 741,148,259.98

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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.