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Finding the Third Proportional to 130,155,861 and 172,736,113.50

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Solution

The third proportional to 130,155,861 and 172,736,113.50 is: 229,246,417.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,155,861 : 172,736,113.50 = 172,736,113.50 : x
  2. Step 2: Convert to fraction form
    130,155,861/172,736,113.50 = 172,736,113.50/x
  3. Step 3: Cross multiply
    130,155,861x = 172,736,113.50 × 172,736,113.50
  4. Step 4: Simplify right side
    130,155,861x = 29,837,764,907,084,884
  5. Step 5: Solve for x
    x = 29,837,764,907,084,884/130,155,861
  6. Step 6: Final answer
    x = 229,246,417.93

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.