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Finding the Third Proportional to 233,778,703 and 508,249,012

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Solution

The third proportional to 233,778,703 and 508,249,012 is: 1,104,964,031.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,778,703 : 508,249,012 = 508,249,012 : x
  2. Step 2: Convert to fraction form
    233,778,703/508,249,012 = 508,249,012/x
  3. Step 3: Cross multiply
    233,778,703x = 508,249,012 × 508,249,012
  4. Step 4: Simplify right side
    233,778,703x = 258,317,058,198,976,128
  5. Step 5: Solve for x
    x = 258,317,058,198,976,128/233,778,703
  6. Step 6: Final answer
    x = 1,104,964,031.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.