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Finding the Third Proportional to 170,574,770 and 249,465,157

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Solution

The third proportional to 170,574,770 and 249,465,157 is: 364,842,142.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,574,770 : 249,465,157 = 249,465,157 : x
  2. Step 2: Convert to fraction form
    170,574,770/249,465,157 = 249,465,157/x
  3. Step 3: Cross multiply
    170,574,770x = 249,465,157 × 249,465,157
  4. Step 4: Simplify right side
    170,574,770x = 62,232,864,557,034,648
  5. Step 5: Solve for x
    x = 62,232,864,557,034,648/170,574,770
  6. Step 6: Final answer
    x = 364,842,142.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.