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Finding the Third Proportional to 191,063,148 and 286,294,693.50

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Solution

The third proportional to 191,063,148 and 286,294,693.50 is: 428,992,468.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,063,148 : 286,294,693.50 = 286,294,693.50 : x
  2. Step 2: Convert to fraction form
    191,063,148/286,294,693.50 = 286,294,693.50/x
  3. Step 3: Cross multiply
    191,063,148x = 286,294,693.50 × 286,294,693.50
  4. Step 4: Simplify right side
    191,063,148x = 81,964,651,526,258,944
  5. Step 5: Solve for x
    x = 81,964,651,526,258,944/191,063,148
  6. Step 6: Final answer
    x = 428,992,468.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.