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Finding the Third Proportional to 94,038,219 and 145,249,780.50

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Solution

The third proportional to 94,038,219 and 145,249,780.50 is: 224,350,258.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,038,219 : 145,249,780.50 = 145,249,780.50 : x
  2. Step 2: Convert to fraction form
    94,038,219/145,249,780.50 = 145,249,780.50/x
  3. Step 3: Cross multiply
    94,038,219x = 145,249,780.50 × 145,249,780.50
  4. Step 4: Simplify right side
    94,038,219x = 21,097,498,735,298,180
  5. Step 5: Solve for x
    x = 21,097,498,735,298,180/94,038,219
  6. Step 6: Final answer
    x = 224,350,258.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.