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Finding the Third Proportional to 164,790,411 and 249,306,529.50

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Solution

The third proportional to 164,790,411 and 249,306,529.50 is: 377,168,460.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,790,411 : 249,306,529.50 = 249,306,529.50 : x
  2. Step 2: Convert to fraction form
    164,790,411/249,306,529.50 = 249,306,529.50/x
  3. Step 3: Cross multiply
    164,790,411x = 249,306,529.50 × 249,306,529.50
  4. Step 4: Simplify right side
    164,790,411x = 62,153,745,651,334,368
  5. Step 5: Solve for x
    x = 62,153,745,651,334,368/164,790,411
  6. Step 6: Final answer
    x = 377,168,460.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.