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Finding the Third Proportional to 233,778,730.50 and 508,249,071

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Solution

The third proportional to 233,778,730.50 and 508,249,071 is: 1,104,964,158.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,778,730.50 : 508,249,071 = 508,249,071 : x
  2. Step 2: Convert to fraction form
    233,778,730.50/508,249,071 = 508,249,071/x
  3. Step 3: Cross multiply
    233,778,730.50x = 508,249,071 × 508,249,071
  4. Step 4: Simplify right side
    233,778,730.50x = 258,317,118,172,363,040
  5. Step 5: Solve for x
    x = 258,317,118,172,363,040/233,778,730.50
  6. Step 6: Final answer
    x = 1,104,964,158.29

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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.