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Finding the Third Proportional to 249,866,976,953.24 and 380,655,055,681.90

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Solution

The third proportional to 249,866,976,953.24 and 380,655,055,681.90 is: 579,901,646,800.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,866,976,953.24 : 380,655,055,681.90 = 380,655,055,681.90 : x
  2. Step 2: Convert to fraction form
    249,866,976,953.24/380,655,055,681.90 = 380,655,055,681.90/x
  3. Step 3: Cross multiply
    249,866,976,953.24x = 380,655,055,681.90 × 380,655,055,681.90
  4. Step 4: Simplify right side
    249,866,976,953.24x = 144,898,271,416,190,402,297,856
  5. Step 5: Solve for x
    x = 144,898,271,416,190,402,297,856/249,866,976,953.24
  6. Step 6: Final answer
    x = 579,901,646,800.28

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.