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Finding the Third Proportional to 243,633,030.19 and 507,342,583.69

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Solution

The third proportional to 243,633,030.19 and 507,342,583.69 is: 1,056,492,615.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,633,030.19 : 507,342,583.69 = 507,342,583.69 : x
  2. Step 2: Convert to fraction form
    243,633,030.19/507,342,583.69 = 507,342,583.69/x
  3. Step 3: Cross multiply
    243,633,030.19x = 507,342,583.69 × 507,342,583.69
  4. Step 4: Simplify right side
    243,633,030.19x = 257,396,497,222,707,936
  5. Step 5: Solve for x
    x = 257,396,497,222,707,936/243,633,030.19
  6. Step 6: Final answer
    x = 1,056,492,615.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.