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Finding the Third Proportional to 233,778,734 and 508,249,078

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Solution

The third proportional to 233,778,734 and 508,249,078 is: 1,104,964,172.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,778,734 : 508,249,078 = 508,249,078 : x
  2. Step 2: Convert to fraction form
    233,778,734/508,249,078 = 508,249,078/x
  3. Step 3: Cross multiply
    233,778,734x = 508,249,078 × 508,249,078
  4. Step 4: Simplify right side
    233,778,734x = 258,317,125,287,850,080
  5. Step 5: Solve for x
    x = 258,317,125,287,850,080/233,778,734
  6. Step 6: Final answer
    x = 1,104,964,172.18

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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.