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Finding the Third Proportional to 94,038,221 and 145,249,784

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Solution

The third proportional to 94,038,221 and 145,249,784 is: 224,350,264.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,038,221 : 145,249,784 = 145,249,784 : x
  2. Step 2: Convert to fraction form
    94,038,221/145,249,784 = 145,249,784/x
  3. Step 3: Cross multiply
    94,038,221x = 145,249,784 × 145,249,784
  4. Step 4: Simplify right side
    94,038,221x = 21,097,499,752,046,656
  5. Step 5: Solve for x
    x = 21,097,499,752,046,656/94,038,221
  6. Step 6: Final answer
    x = 224,350,264.47

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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.