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Finding the Third Proportional to 116,823,784.50 and 249,283,828.50

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Solution

The third proportional to 116,823,784.50 and 249,283,828.50 is: 531,933,008.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,823,784.50 : 249,283,828.50 = 249,283,828.50 : x
  2. Step 2: Convert to fraction form
    116,823,784.50/249,283,828.50 = 249,283,828.50/x
  3. Step 3: Cross multiply
    116,823,784.50x = 249,283,828.50 × 249,283,828.50
  4. Step 4: Simplify right side
    116,823,784.50x = 62,142,427,151,617,416
  5. Step 5: Solve for x
    x = 62,142,427,151,617,416/116,823,784.50
  6. Step 6: Final answer
    x = 531,933,008.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.