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Finding the Third Proportional to 249,183,023.50 and 386,834,590.50

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Solution

The third proportional to 249,183,023.50 and 386,834,590.50 is: 600,526,465.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,183,023.50 : 386,834,590.50 = 386,834,590.50 : x
  2. Step 2: Convert to fraction form
    249,183,023.50/386,834,590.50 = 386,834,590.50/x
  3. Step 3: Cross multiply
    249,183,023.50x = 386,834,590.50 × 386,834,590.50
  4. Step 4: Simplify right side
    249,183,023.50x = 149,641,000,407,302,688
  5. Step 5: Solve for x
    x = 149,641,000,407,302,688/249,183,023.50
  6. Step 6: Final answer
    x = 600,526,465.67

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.